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

Let ABC be any triangle. Let AD ⊥⊥ BC and BE ⊥⊥ toAC Let AD and BE intersect at O (origin say) Join CO and extend it to meet AB at F ⇒⇒ AOD and BOE are two altotudes of the triangle. We have to prove that COF is the third altitude. ⇒⇒ we have to prove that CF is ⊥⊥ to AB Let OA−→−=a→,OB−→−=b→OA→=a→,OB→=b→ and OC−→−=c→OC→=c→ We know that AB−→−=b→−a→,BC−→−=c→−b→andAC−→−=c→−a→AB→=b→−a→,BC→=c→−b→andAC→=c→−a→ Since AD ⊥⊥ BC and BE ⊥⊥ AC, a→.(c→−b→)=0andb→.(c→−a→)=0a→.(c→−b→)=0andb→.(c→−a→)=0 ⇒a→.c→=a→.b→⇒a→.c→=a→.b→..........(i) and b→.c→=b→.a→b→.c→=b→.a→..........(ii) But we know that a→.b→=b→.a→a→.b→=b→.a→ ⇒(i)=(ii)⇒(i)=(ii) ⇒a→.c→=b→.c→⇒a→.c→=b→.c→ ⇒a→.c→−b→.c→=0⇒a→.c→−b→.c→=0 ⇒(a→−b→).c→=0⇒(a→−b→).c→=0 ⇒a→−b→is⊥toc→⇒a→−b→is⊥toc→ ⇒AB−→−⊥toOC−→−⇒AB→⊥toOC→ ⇒⇒ FOC is altitude of the side AB ⇒⇒ All the three altitudes meet at a common point O.

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What is the value of k, if 3×2-kx+6=2

Posted by Arya Dewangan 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Sahil Wadhwa 6 years, 10 months ago

4√3=k.

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Harsha Asiwal 6 years, 10 months ago

The question is not complete i think

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Arya Dewangan 6 years, 10 months ago

Give answer completely

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Guramrit Dhillon 6 years, 10 months ago

Value of k is 12

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A line segment is 8 cm in length. AB is produced to P such that BP*BP=AB*AP. Then length of BP is

Posted by Abhishek Kumar 6 years, 10 months ago

CBSE > Class 10 > Mathematics

0 answers

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how we understand chapter 13 of math for class 10th ncert

Posted by Deep 22 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Affu 😊 6 years, 10 months ago

Go to the youtube page and see tha videos of vidyarthi mam

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The sum of a rational and irrational number is

Posted by Arshia Cs 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Rahul Kuntal Jaat Sahab 6 years, 10 months ago

Always irrational number

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Miss Angel 6 years, 10 months ago

Always irrational number

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Purvanshi Yadav 6 years, 10 months ago

Always irrational

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Arshia Cs 6 years, 10 months ago

Irrational

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From the external point tangent p a and PB drown to a circle centre which centre if angle p a v is equal to 50 degree then find angle Aob

Posted by Koshal Jamidaaar 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Miss Angel 6 years, 10 months ago

AOB angle is 70

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If the zeros of the polynomial x square plus PX Plus double in value zeros to the zeros 2 x square minus 5 x minus 3 find the value of P and Q question mark

Posted by Koshal Jamidaaar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let f(x) = 2x²- 5x - 3
Let the zeroes of polynomial be {tex}\alpha{/tex} and {tex}\beta{/tex}, then
Sum of zeroes = {tex}\alpha + \beta = \frac { 5 } { 2 }{/tex}
Product of zeroes = {tex}{/tex}{tex}\alpha \beta = - \frac { 3 } { 2 }{/tex}
According to the question, zeroes of x²+ px + q are {tex}2 \alpha \text { and } 2 \beta{/tex}.
{tex}\therefore\ {/tex} Sum of zeroes = {tex}{/tex}{tex}- \frac { \text { Coeff. of } x } { \text { Coeff of } x ^ { 2 } } = \frac { - p } { 1 }{/tex}
{tex}\Rightarrow{/tex} -p = {tex}2 \alpha + 2 \beta = 2 ( \alpha + \beta ){/tex}
{tex}{/tex}{tex}\Rightarrow\ {/tex} -p= {tex}2 \times \frac { 5 } { 2 } = 5{/tex} or p = -5
Now ,Product of zeroes = {tex}\frac { \text { Constant term } } { \text { Coeff of } x ^ { 2 } } = \frac { q } { 1 }{/tex}
{tex}\Rightarrow{/tex} q = {tex}2 \alpha \times 2 \beta = 4 \alpha \beta{/tex}
{tex}\Rightarrow{/tex} q = {tex}4 \left( - \frac { 3 } { 2 } \right){/tex} = -6
{tex}\therefore{/tex} p = -5 and q = -6

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Use Euclid division Lemma to show that the square of any positive integer is either of the form of 3M or 3M + 1 for some integer m

Posted by Naveen Agrawal Agrawal 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Arihant Jain 6 years, 10 months ago

Odd

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In word problems,how to understand hcf is the answer or lcm

Posted by Xyz Abc 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Muskaan ? 6 years, 10 months ago

When d Q asks about MAXIMIUM den u have to find Hcf when its asks About MINIMUM den Lcm is required... For ex. an army contigent of 616 members is to march behind d army band of 32 members . the two groups are to march in same no. of columns . den wt is maximum no of column dey can march. Here d Q cleary tells us we have to find its HCF bec its asking d max people required.. Hope its Clear.....

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Amrish Chaubey 6 years, 10 months ago

If the largest" or maximum" word is mention in question then you have to find HCF and LCM is oppsite to this word smallest or largest

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Given that the zeroes of the cubic polynomial X^3-6X^2+3X+10 are of the form a,a+b,a+2b for some real numbers a" and b"as then find a and b well as well as the zeroes of the given polynomial

Posted by Amrish Chaubey 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Veeraraghavan Pandurangan 6 years, 10 months ago

x^3-6x^2+3x+10 P(2)=0 Therefore (x-2) is a factor x^3-6x^2+3x+10/(x-2) =x^2-4x-5 =(x-5)(x+1) There fore factors are(x-2)(x-5)(x+1) Zeroes of the equation -1,2,5 They are in form. -1,-1+3,-1+2*3 Hence a=1 and b=3

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Please let me know the selected chapter to study

Posted by Vini Nigam 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Purvanshi Yadav 6 years, 10 months ago

Staitistics, Probability, coordinate geometry, construction, real numbers and polynomials. If you done them then you may get passing marks in maths.

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Harsha Asiwal 6 years, 10 months ago

U'll have to study them all for boards

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Please give me paper of 2015 solved plz because solutions i did not have

Posted by Giaa Manek 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Ram Kushwah 6 years, 10 months ago

Download from:

https://www.vedantu.com/previous-year-question-paper/cbse-maths-class-10-year-2015

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ANSWER

If the zeroes of the polynomial x3-3x2+x+1 are a-b,a and a+b ,find the values of the a and b

Posted by Rishi Sanganeria 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Ram Kushwah 6 years, 10 months ago

{tex}\begin{array}{l}let\;\alpha,\beta,\gamma\;are\;zeros\\hen\;\alpha+\beta+\gamma=-\frac{-3}1=3\\or\;a-b+a+a+b=3\\3a=3\;so\;\;a=1\\\alpha\beta\gamma=-\frac11=-1\\so\;a(a-b)(a+b)=-1\\a(a^2-b^2)=-1\\1(1-b^2)=-1\\b^2=2\\b=\pm\sqrt2,a=1\end{array}{/tex}

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Honey ??? 6 years, 10 months ago

a=1 and b= root 2

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Define the zero of a polynomial

Posted by Xyz Abc 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 10 months ago

The polynomial with all the coefficients as zeros is called a zero polynomial.

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Sin theta minus cos theta is equal to 1 upon to find one upon sin theta + cos theta

Posted by Manav Goyal 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Manav Goyal 6 years, 10 months ago

3.345

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A girl is twice as old as her sister.four year hence,the product of their ages (years)will be 160. Find present ages.with representation.

Posted by Anshuman Nagar 6 years, 10 months ago

CBSE > Class 10 > Mathematics

5 answers

Honey ??? 6 years, 10 months ago

Hence ki jagah ago lekar bana diya

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Anshuman Nagar 6 years, 10 months ago

Girl age is12 and sister is 6 is right answer.

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Honey ??? 5 years, 8 months ago

No i think its correct

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Anushka Jugran_? 6 years, 10 months ago

Age of girl is 12..age of her sister is 6..u r wrong toppr

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Honey ??? 6 years, 10 months ago

12 and24

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A coin is tossed three times. Find the probability of getting at most two head

Posted by Himanshu Garg 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Affu 😊 6 years, 10 months ago

4/8 =1/2

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Nishant Kumar 6 years, 10 months ago

1/2

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Anushka Jugran_? 6 years, 10 months ago

7/8

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Yogita Ingle 6 years, 10 months ago

When 3 unbaised coins are tossed, the total number of events = 8

They are {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
At most two heads
That is no head or one head or 2 heads
Probability of getting at most two heads = 7/8

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find the zeroes of x^2+1/6x-2

Posted by Sulakshna Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

0 answers

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cos a- sin a=1 prove that cos a+sin a=+-1

Posted by Shubhendra Pratap Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Anushka Jugran_? 6 years, 10 months ago

I got the answer

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Find the solution of equation x=3 and y=-2

Posted by Sakshi Singh 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Anish Gupta 6 years, 10 months ago

X=3 and y=3 Quadratic equation can be written In the form x2+(x+y)x+xy So, X2+(3+2)x+(3)(2) X2+5x+6

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Prove that if x and y are both odd positive integers then x2 +y2 is even but not divisible by 4...plz ans me ...i m so confused...??

Posted by Sankalp Awasthi 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Sankalp Awasthi 6 years, 10 months ago

I can't get....??

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Puja Sahoo? 6 years, 10 months ago

Let x = 2m+1 and y= 2n+1, as both are odd +ve integers.... now put tgese value on x square + y square and solve it yu will get.....4 {(n² + m² + n + m}) + 2 now take q = n² + m² + n + m ....... Since,x² + y² is even and leaves remainder 2 when divided by 4 ........ ho gya prove???

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Sankalp Awasthi 6 years, 10 months ago

Explain the theory dude....then i cn solve

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Puja Sahoo? 6 years, 10 months ago

Ye question to r.d ka hai, bt mai yahan solution kaise dun apko....????

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In a circle of diameter 40 cm, a rhombus is inscribed with all its vertices on the circle. Find the area of rhombus.

Posted by Shruti Vishwakarma 6 years, 10 months ago

CBSE > Class 10 > Mathematics