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Maths
Sanika's image
Sanika
Aug. 18, 2026, 11:43 p.m.
Class 12 
7.9 2nd question there is a typing mistake instead of 3/2 it should be 5/2 and will obtaining 231 it should be 3×7×11
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aradhya
Aug. 18, 2026, 11:40 p.m.
Chapter Dusk detailed question answer 
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Jayanth Jayanth
Aug. 18, 2026, 9:10 p.m.
Kannada vibakati models ides
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dhruvi's image
dhruvi
Aug. 18, 2026, 8:09 p.m.
Find the value of k,such that 4x+5y=and kx+=9 have infinitely many solutions 
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English
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Adwiti Singh
Aug. 18, 2026, 8:05 p.m.
Why is the sky blue 
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harshita
Aug. 18, 2026, 7:33 p.m.
How many cubes of side 1 cm will make a cube of side 3 cm 
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Shawinder Kaur
Aug. 18, 2026, 7:07 p.m.
In the midpoint of the sides of a 4 jio and are joined in order prove that the area of the parallelogram has formed will be half of the area of the given for jio and you may wonder whether the 4G and has formed is always a parallelogram and if so why this question will be tackle and answer in the chapter on quadrilate
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keshav sharma
Aug. 18, 2026, 4:43 p.m.
How to do gret in exam

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shri
Aug. 18, 2026, 8:15 a.m.
Where did you upload new syllabus for 6 to 9 classes. 
I use this app from 3 years my brother also want to use that please upload it 
He has many doubt but no where has solution 
Thank you for read this and understand our problem 
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Md Kamil
Aug. 17, 2026, 8:50 p.m.
Chapter 4 exercise 4.5 Q.no 1 – simplify the following rational expressions assuming that the expressions in the denominator are not equal to zero:
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Srikanth Bv
Aug. 17, 2026, 8:21 p.m.
Quadrilateral exactly one pair of parallel sides
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dhruvi
Aug. 17, 2026, 8:05 p.m.
Find the sum and product of zero of polynomial.
    2 
3x.   -2x+5

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Accounts Tax GST
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Omjie Prasad
Aug. 17, 2026, 7:39 p.m.
If 21y is multiple of 9 where y is a digit, what is the value of y
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nehaa
Aug. 17, 2026, 7:35 p.m.
Derive the equation of the line in space passing through the point parallel to the vector in the vector form 
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karishma
Aug. 17, 2026, 5:47 p.m.
Question 8

Prove that

\[
2(\sin^6\theta+\cos^6\theta)-3(\sin^4\theta+\cos^4\theta)+1=0
\]

LHS:

\[
=2(\sin^6\theta+\cos^6\theta)
-3(\sin^4\theta+\cos^4\theta)+1
\]

We know,

\[
a^3+b^3=(a+b)^3-3ab(a+b)
\]

Taking \(a=\sin^2\theta,\ b=\cos^2\theta\),

\[
\sin^6\theta+\cos^6\theta
=(\sin^2\theta+\cos^2\theta)^3
-3\sin^2\theta\cos^2\theta
(\sin^2\theta+\cos^2\theta)
\]

Since

\[
\sin^2\theta+\cos^2\theta=1
\]

\[
\sin^6\theta+\cos^6\theta
=1-3\sin^2\theta\cos^2\theta
\]

Also,

\[
\sin^4\theta+\cos^4\theta
=(\sin^2\theta+\cos^2\theta)^2
-2\sin^2\theta\cos^2\theta
\]

\[
=1-2\sin^2\theta\cos^2\theta
\]

Substitute:

\[
=2(1-3\sin^2\theta\cos^2\theta)
-3(1-2\sin^2\theta\cos^2\theta)+1
\]

\[
=2-6\sin^2\theta\cos^2\theta
-3+6\sin^2\theta\cos^2\theta+1
\]

\[
=0
\]

Hence,

\[
\boxed{LHS=RHS=0}
\]

Hence proved. ✅
Answer
Maths
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Hema Pawar
Aug. 17, 2026, 11:06 a.m.
I want of 8th standard 

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sarika thakur
Aug. 16, 2026, 9:10 p.m.
Ganita Manjari book se aap mujhe class ninth pt1 exam ke liye question de sakte hain paper mein kya aaega vaisa hi question chapter 1 and 2,3 please 
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Maths
Bhoomika Arora's image
Bhoomika Arora
Aug. 16, 2026, 1:12 p.m.
Y=√1-tanx÷1+tanx

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