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ABCD is a cyclic quadrilateral (Fig. 3.7 NCERT) . Find the angles of the cyclic quadrilateral.

Posted by Shabeeha Khadeeja 6 years, 10 months ago

1 answers

Kamboj Ji 6 years, 10 months ago

In a cyclic quad we know that sum of opp angle=180 So, 3y-5+(-7x+5)=180,(eq..1) 4y+20+(-4x)=180,(eq..2) Now from eq 1, 3y-5-7x+5=180, 3y-7x=180, From eq 2, 4y-4x=160, X-y=40, Using any method we will get x=-15 and y=25, substitute the value and result will come

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A train covered a certain distance at a uniform speed. If the train would have 10km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower 10km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

Posted by Shabeeha Khadeeja 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let the speed of the train be x km/h and the time taken by train to travel the given distance be t hours and the distance to travel be d km.
Since, Speed = {tex}\frac{{{\text{Distance travelled}}}}{{{\text{Time taken to travel that distance}}}}{/tex} {tex} \Rightarrow x = \frac{d}{t} \Rightarrow{/tex} d = xt ....(1)
According to the question,
x + 10 = {tex}\frac{d}{{t - 2}} \Rightarrow{/tex} (x + 10)(t - 2) = d
{tex}\Rightarrow{/tex} xt + 10t - 2x - 20 = d
{tex}\Rightarrow{/tex} -2x + 10t = 20 .....(2) [Using eq. (1)]
Again, x - 10 = {tex}\frac{d}{{t + 3}} \Rightarrow{/tex} (x - 10)(t + 3) = d
{tex}\Rightarrow{/tex} xt - 10t + 3x - 30 = d
{tex}\Rightarrow{/tex} 3x - 10t = 30 .....(3) [Using eq. (1)]
Adding equations (2) and (3), we obtain:
x = 50
Substituting the value of x in equation (2), we obtain:
(-2) {tex}\times{/tex} (50) + 10t = 20 {tex}\Rightarrow{/tex}-100 + 10t = 20
{tex}\Rightarrow{/tex}10t = 120
t = 12
From equation (1), we obtain:
d = xt = 50 {tex}\times{/tex} 12 = 600
Thus, the distance covered by the train is 600 km.

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If two zeroes of the polynomial x^4 - 6x^3 - 26x^2 + 138x - 35 are 2+√3 and 2 - √3. Find other zeroes

Posted by Shabeeha Khadeeja 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

【-】⭕ 【\】 € ¥ (＠_＠;) 6 years, 10 months ago

Take x=2+√3 and 2-√3 , then shift rhs to lhs and multiply both equaton to get a other eqn. then divide the poly. by this poly. and factorise the quotient

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If the zeroes of the polynomial x^ - 3x^2 + x + 1 are a-b, a, a+b, find a & b

Posted by Shabeeha Khadeeja 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Puja Sahoo? 6 years, 10 months ago

a=1, b= +_ root 2

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If (1,p/3) is the mid point of the line segment joining the points (2,0) & (0,2/9) then show that the line 5x+3y+2=0 passes through the point (-1,3p)

Posted by Shabeeha Khadeeja 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Since {tex}\left(1,\frac p3\right){/tex}, is the mid point of the line segment joining the points (2,0) and {tex}\left( 0 , \frac { 2 } { 9 } \right){/tex}.
{tex}\therefore \quad \quad \frac { p } { 3 } = \frac { 0 + \frac { 2 } { 9 } } { 2 }{/tex}
{tex} \frac { 2 p } { 3 } = \frac { 2 } { 9 }{/tex}
{tex}p = \frac { 1 } { 3 }{/tex}
Now the given points are (-1, 3p). Let x = -1 , y = 3p
Hence, y = 3 {tex}\times{/tex} {tex}\frac13{/tex} = 1
The equation to prove is: 5x + 3y + 2 = 0
L.H.S.
= 5x + 3y + 2
Put the values of x & y,
= 5(-1) + 3(1) + 2 = -5 + 3 + 2 = -2 + 2 = 0 = R.H.S.
Hence, the line 5x + 3y + 2 = 0 passes through the point (–1, 1) as 5(–1) + 3(1) + 2 = 0.

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X-1 , x+2, x-7. Are in AP then find the value of x.

Posted by Satyam Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

【-】⭕ 【\】 € ¥ (＠_＠;) 6 years, 10 months ago

Infinity-1=oo ,oo+2=oo ,oo-7=oo so common diff. Will be 0(zero)

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Puja Sahoo? 6 years, 10 months ago

No value of x.....???

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【-】⭕ 【\】 € ¥ (＠_＠;) 6 years, 10 months ago

X=oo (infinity)

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The mean age of a combined group of men and women is 25 years. If the mean age of the group of men is 26 years and that of women is 21 years, find percentage of men & women in the group.

Posted by Shabeeha Khadeeja 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Puja Sahoo? 6 years, 10 months ago

Women=20% and men=80%

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Rahul donated some money and books to a school for poor children. Money and books can be represented by the zeroes ( alpha and beta) of the polynominal p(x)=x2-x-2. Akash who is friend of rahul , also got inspired by him and donated the money and the books in the form of a polynominal whose zeroes are 1+2alpha and 1+2beta . Find the polynominal represenred by akash's donation?

Posted by Kirtan Singh Deora 6 years, 10 months ago

CBSE > Class 10 > Mathematics

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Find the median ;- X = 1,2,3,4,5,6,7,8,9, C.F= 8,18,29,45,65,90,105,114,119

Posted by Lakshay Choudhary 6 years, 10 months ago

CBSE > Class 10 > Mathematics

0 answers

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2018-2019 Sample papers

Posted by Atul Chaudhary 6 years, 10 months ago

CBSE > Class 10 > Mathematics

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Peace out every one

Posted by Sw Kkk 6 years, 10 months ago

CBSE > Class 10 > Mathematics

0 answers

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The mean of the following data is 53 ,find the value of f1 f2 ci_0_20 20_40

Posted by Vikas Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

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CosA + cos2^A=1 then sin2^A +sin4^=1 proof

Posted by Sparsh Bansal 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 10 months ago

Since cos A + cos²A=1

Now,cosA= 1-cos²A=sin²A

Then taking L.H.S. sin²A+sin⁴A

=Sin²A(1+sin²A)

=CosA(1+cosA)

CosA+cos²A=1(given)

L.H.S =1 Hence proved

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sec thetha + cosec thetha =n sin thetha + cos thetha=m then prove that n(m square-1) = 2m

Posted by Ashi Mishra 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 10 months ago

Question: Show that n (m²-1 ) = 2m , if sin theta + cos theta = m and sec theta + cosec theta = n

Answer:

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What is the value of (cos2 67°_ sin2 23°)

Posted by Sarthak Varshnay 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Somu Sinha 6 years, 10 months ago

Since cos( 90 - thita)= sin thita. Cos(90 - 67)= sin. Therefore, sin 23° -sin23°=0

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Affu 😊 6 years, 10 months ago

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The product of the zeros of polynomail

Posted by Neel Shah 6 years, 10 months ago

CBSE > Class 10 > Mathematics

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From a solid cylinder of height 15 cm and diameter 16 cm a conical cavity of the same height and same diameter is hollowed out find the total surface area of the remaining solid by taking Pi 3.14

Posted by Priya Darshni 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Jogendra Nonia 6 years, 10 months ago

Total surface area of remaining solid =CSA of cylinder+area if circle+CSA of cone =2pi rh +pi r^2+ pi rl 2×3.14×8×15 +3.14×8×8 +3.14×8×17 3.14×8(2×15+8+17) 3.14×8×55 314×44= 13816cm^2

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How we find the zeroes of three digits polynomials .Explain it with example

Posted by Kiran Yadav 6 years, 10 months ago

CBSE > Class 10 > Mathematics

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The volume of hemisphere is2425 shi 1/2 find the curved surface area

Posted by Rakesh Pal 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

As, volume of hemisphere = 2425{tex}\frac { 1 } { 2 } c m ^ { 3 }{/tex}
{tex}\Rightarrow \frac { 2 } { 3 } \pi r ^ { 3 } = 2425 \frac { 1 } { 2 }{/tex}
{tex}\Rightarrow \frac { 2 } { 3 } \times \frac { 22 } { 7 } r ^ { 3 } = \frac { 4851 } { 2 }{/tex}
{tex}\Rightarrow r ^ { 3 } = \frac { 4851 \times 3 \times 7 } { 2 \times 2 \times 22 }{/tex}
{tex}\Rightarrow r ^ { 3 } = \frac { 441 \times 3 \times 7 } { 2 \times 2 \times 2 }{/tex}
{tex}\Rightarrow r ^ { 3 } = \frac { 21 ^ { 3 } } { 2 ^ { 3 } }{/tex}
{tex}\Rightarrow r = \frac { 21 } { 2 } c m{/tex}
So, the curved surface area of the hemisphere ={tex}2 \pi r ^ { 2 }{/tex}
{tex}= 2 \times \frac { 22 } { 7 } \times \frac { 21 } { 2 } \times \frac { 21 } { 2 } = 693 \mathrm { cm } ^ { 2 }{/tex}

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What is the value of 2/0???

Posted by Preeti Rahi 6 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

Preeti Rahi 6 years, 10 months ago

Thanks

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Sneha Singh?????? 6 years, 10 months ago

Undefined

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Ajay Papnai 6 years, 10 months ago

Infinity

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How to find median in stastics in graf

Posted by M Nehruji 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Garima Choudhary 6 years, 10 months ago

In the stastics graf if it has only one slope than we fnd N/2 and mark the point on graf after that join the point to x-axis hence this will the median . In case of less than and more than ogive, the point of their intersection will be joind to x-axis that point on x-axis will be median

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an aeroplane is flying horizontally at a height of 2500m above the ground is observed at an elevation of 60 degree and after 15 sec. the elevation is observed to be 30 degree . find the speed of aeroplane in km/h.

Posted by Lucky? Dangi 6 years, 10 months ago

CBSE > Class 10 > Mathematics