CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

Given: A trapezium ABCD, In which AB {tex}\parallel{/tex} CD and its diagonals AC and BD intersect at O.
To Prove: {tex}\frac{{AO}}{{OC}} = \frac{{BO}}{{OD}}{/tex}
Construction: Through O draw OE||AB
proof: In {tex}\triangle {/tex}ADC, OE {tex}\parallel{/tex} DC,
Hence {tex}\frac{{AE}}{{ED}} = \frac{{AO}}{{OC}}{/tex} .....(i).....[By BPT]
Again in {tex}\triangle {/tex}ABD, we have OE {tex}\parallel{/tex} AB,
hence {tex}\frac{{DE}}{{EA}} = \frac{{DO}}{{OB}}{/tex} ........[By BPT]
{tex}\Rightarrow {/tex} {tex}\frac{{EA}}{{ED}} = \frac{{OB}}{{OD}}{/tex} .....(ii)......[Using invertendo]
{tex}\therefore {/tex} From (i) and (ii), we.{tex}\frac{{OB}}{{OD}} = \frac{{AO}}{{OC}}{/tex}H once proved

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ANSWER

(tan A +2)(2tan A =1) =5tanA +sec²A

Posted by Arpita Joshi 6 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Two tangents are drawn from an external point P to acircle with centre o prove that OA=√3AP

Posted by Utkarsh Jain 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Honey ☺☺☺ 6 years, 11 months ago

Angle APO =60°

1Thank You

Archana☺ Singh 6 years, 11 months ago

Not possible to type

2Thank You

Bishal Samanta Samanta 6 years, 11 months ago

diagram based

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What is centroid formula ?

Posted by Ashu Kumar 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Honey ☺☺☺ 6 years, 11 months ago

x1+ x2+x3 divided by 3 and same as for y

1Thank You

Anushka Jugran ? 6 years, 11 months ago

Centroid of triangle is equal to x1+x2+x3 upon 3 and y1+y2+y3 upon 3.

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ANSWER

solid spheres of diameter 6cm are droped into a cylindrical beaker containg some water and are fully submerged . if the diameter of the beaker is 18cm and water rises by 40 cm find the number of solid sphere dropped in the water

Posted by Renu K V 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Sourav Kumar 6 years, 11 months ago

?90 spheres

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Vishal Gorana 6 years, 11 months ago

90 spheres

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Honey ☺☺☺ 6 years, 11 months ago

90 spheres

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Roman Empire 6 years, 11 months ago

Ap jo itna likhti ha isa bdhiya ha ap es Q.ka solution dekh la

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ANSWER

solve graphically the system of linear equation : 2x+y=8 ; x+1=2

Posted by Renu K V 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Archana☺ Singh 6 years, 11 months ago

Check it again

1Thank You

Archana☺ Singh 6 years, 11 months ago

This que. is wrong because in secod eq.there is no y

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Roman Empire 6 years, 11 months ago

Hii renu

1Thank You

Roman Empire 6 years, 11 months ago

Sorry this Q.only done in graph

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Roman Empire 6 years, 11 months ago

Hii

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ANSWER

Study ke liye kaun sa sample paper best hai

Posted by Twinkle Star ( Atul )....... ?? 6 years, 11 months ago

CBSE > Class 10 > Mathematics

6 answers

Pihu Saini 6 years, 11 months ago

Pr ncert s bss 33% aata h

1Thank You

Twinkle Star ( Atul )....... ?? 6 years, 11 months ago

Mujhe to ncert hi yaad ho jaye wo kitna haya

1Thank You

Raunak Pandey ?? 6 years, 11 months ago

Shivdas and sons

2Thank You

Pihu Saini 6 years, 11 months ago

Xam idea....is the best...

1Thank You

Roman Empire 6 years, 11 months ago

Hii

1Thank You

Angel Taha 6 years, 11 months ago

Jo cbse ne upload kiye the

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2 bracket open Sin 6 theta + cos theta bracket close - 3 bracket open Sin 4 theta + cos 4 theta + 1 bracket close is equal to zero

Posted by Ãshíßh Pãñdât 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Vishal Gorana 6 years, 11 months ago

A mixture of ethyne and air is not used for welding because it produce a sooty flame with low temperature due to incomplete combustion of Ethane

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ANSWER

What should i do to get good marks in my boards

Posted by Sumit Pradhan 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Ayushi Singh 6 years, 11 months ago

Be consistent in your study

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Angel Taha 6 years, 11 months ago

Vlcm.....

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Sumit Pradhan 6 years, 11 months ago

Thanks a lottt

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Angel Taha 6 years, 11 months ago

Dea do hrdwrk...... N stay frm social media

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Write the HCF and LCM of the smallest odd composite number and the smallest odd prime number

Posted by Aaf__Rin 003 6 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Archana☺ Singh 6 years, 11 months ago

HCF =3 and LCM= 9

1Thank You

Rakshit Sisodia 6 years, 11 months ago

1Thank You

Pranjul Ross 6 years, 11 months ago

Hewhahwjwj

3Thank You

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In triangle ABC it is given that DE parllel BC if AD=3 cm DB= 2 cm and DE = 6 cm than BC=?

Posted by Manish Kumar 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Vishal Gorana 6 years, 11 months ago

BC=10 cm

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ANSWER

The sum of two number is 23 and the sum of their recipocal is 23 upon 120.Find the numbers

Posted by Udit Vashist 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Hamza Hasan 6 years, 11 months ago

8 and 15

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Angel Taha 6 years, 11 months ago

15 and 8 ( by assuming the no's)

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ANSWER

Write the coordinate of the point such that the line 5x-3y=18 meets y axis

Posted by Gurvir Singh 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Puja Sahoo? 6 years, 11 months ago

(0,-6)

2Thank You

ANSWER

A a metallic sphere of radius 4.2 cm is melted and recast into the shape of cylinder of radius 6 cm find the find height of the cylinder

Posted by Hena Fatima 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 11 months ago

Volume of sphere=volume of cyl

4/3π(4.2)³ =π(6)²h

On solving

h=2.74 cm

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ANSWER

Find the value of `k` so that the following quadratic equestion has equal roots.... 2x2-(k-2)x+1=0

Posted by Mukesh Baro 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Saniya Sarfaraz 6 years, 11 months ago

b2-4ac=0 -(k-2)^2-4×2×1 (-K+2)^2-8 K^2+4-4k-8 K^2-4k-4=0 K^2-(2+2)k-4=0 K^2-2k-2k-4=0 K(k-2)-2(k-2) (K-2)(k-2) K=2,k=2 Hence the value of k is 2

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Mukesh Baro 6 years, 11 months ago

Anushka...i use it bt the eq. i get was.. k square - 4k-4=0

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Mukesh Baro 6 years, 11 months ago

The equation is. 2x2-(k-2)x+1=0

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Anushka Jugran ? 6 years, 11 months ago

U can use the formula" b square - 4ac=0"

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Saniya Sarfaraz 6 years, 11 months ago

Can you write the equation once again

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ANSWER

4x-3y-10=0,8x-2y=20 by cross-multiplication method

Posted by Abhi Garg 4 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

If secA+tanA=p,then find the value of cosecA

Posted by Sonu Kumar 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Mukesh Baro 6 years, 11 months ago

CosecA= p2+/2p+1 ÷ p2-1

1Thank You

ANSWER

Sin cube theta minus cos cube theta upon sin theta plus cos theta plus sin theta cos theta is equal to 1

Posted by Gauri Gupta 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Kanaprthi Bhavani 5 years ago

0Thank You

ANSWER

Aaj kaun kaun study kiya hai daily routine ke jaise

Posted by Aj Raghav 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Saniya Sarfaraz 6 years, 11 months ago

Mera routine toh ek din bhi nahi chal pata

0Thank You

Prince Agarwal 6 years, 11 months ago

0Thank You

ANSWER

If tanA=9/x,then find the 9(x-9/x)

Posted by Mithlesh Vashisth 6 years, 11 months ago

CBSE > Class 10 > Mathematics

6 answers

Mithlesh Vashisth 6 years, 11 months ago

Mera question sahi hai?

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Angel Taha 6 years, 11 months ago

Ye ans dekho 9{cosA-sinA\cosA}

2Thank You

Puja Sahoo? 6 years, 11 months ago

Please check the question........

3Thank You

Angel Taha 6 years, 11 months ago

Fast dea

2Thank You

Angel Taha 6 years, 11 months ago

Plx qstn seede cnd klo...... I vl try

2Thank You

Mithlesh Vashisth 6 years, 11 months ago

Koi ans bata sakta hai?

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ANSWER

Of the three angles of triangle first test twice the smallest and other is three times smaller find angles

Posted by Rohan Rudhiyàl 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Saniya Sarfaraz 6 years, 11 months ago

Let smallest angle x Second angle 2x Third angle 3x X+3x+2x=180 6x=180 X=30 2x=60 3x=90

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Of the of the three angle of triangle i

Posted by Rohan Rudhiyàl 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Angel Taha 6 years, 11 months ago

Oyee asia

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Puja Sahoo? 6 years, 11 months ago

Please check yur question........

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What is value of tanπ/8

Posted by Angel Taha 6 years, 11 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

What do you mean by arthmatic progression?

Posted by Manish Bishnoi 6 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Honey ☺☺☺ 6 years, 11 months ago

AP is a sequence of terms in which the next term is obtained by adding or subtracting a fixed number . Exception-1st term

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Gaurav Seth 6 years, 11 months ago

Arithmetic Progression. An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant. For example, the sequence 1, 2, 3, 4, ... is an arithmetic progression with common difference 1.

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ANSWER

why 1 +sin X = tan X

Posted by Rishab Anand 6 years, 11 months ago

CBSE > Class 10 > Mathematics

4 answers

Anushka Jugran ? 6 years, 11 months ago

Ya, plz check ur question

2Thank You

Puja Sahoo? 6 years, 11 months ago

Kya , aisa bhi kuch hai......please check yur question ...........

2Thank You

Honey ☺☺☺ 6 years, 11 months ago

Take x = 90degrees 1+1=infinity

3Thank You

Honey ☺☺☺ 6 years, 11 months ago

Aisa hota hain kya?

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A and b are 2 points 150 km apart on highway .2 cars start with different speeds from a and b at sane time if they move in same direction they meet in 1 5 hours. If they move in oppsite direction they meet i 1 hour .fimd their speeds

Posted by Harshita Sehgal 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Honey ☺☺☺ 6 years, 11 months ago

125 kmph and 25 kmph

3Thank You

ANSWER

In the fig,xy parallel to AC and XY divides triangular region ABC into two parts equal in area.determine AX÷AB

Posted by Sai Aditya 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Honey ☺☺☺ 6 years, 11 months ago

3:4

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ANSWER

Maths me full marks kaise lae

Posted by Arpit Jindal 6 years, 11 months ago

CBSE > Class 10 > Mathematics

5 answers

Rohit Baghel Baghel 6 years, 11 months ago

Time management for only maths

1Thank You

Sourav Kumar 6 years, 11 months ago

Hard work and keep practise

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Anushka Jugran ? 6 years, 11 months ago

Practice practice and only practice ?

1Thank You

Yaar 6 years, 11 months ago

Happy New Year bhai

1Thank You

Yaar 6 years, 11 months ago

Bhai ye koi question thodi h Ye to sirf wish ya imagination h??

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A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres is it possible to do so if yes at what distances from the two gates should the pole be erected

Posted by Aachal Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let P be the position of the pole and A & B be the opposite fixed gates. Let, BP= x metres.
{tex}\therefore{/tex} AP = x + 7
In right triangle APB,
AP² + BP² = AB²
{tex}\Rightarrow{/tex}(x + 7)² + x² = 13²
{tex}\Rightarrow{/tex}x² + 49 + 14x + x² = 169
{tex}\Rightarrow{/tex} 2x² + 14x + 49 - 169 = 0
{tex}\Rightarrow{/tex}2x² + 14x - 120 = 0
{tex}\Rightarrow{/tex}2(x² + 7x - 60) = 0
{tex}\Rightarrow{/tex} x² + 7x - 60 = 0
{tex}\Rightarrow{/tex}x² + 12x - 5x - 60 = 0
{tex}\Rightarrow{/tex} x(x + 12) - 5(x + 12) = 0
{tex}\Rightarrow{/tex} (x + 12)(x - 5) = 0