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The solutions of the equation 4cos^(2) ...

The solutions of the equation ` 4cos^(2) + 6 sin^(2) x =5` are

A

`x = n pi +- pi/4`

B

`x= npi +- pi/3`

C

`x = npi +- pi/2`

D

`x = npi (2pi)/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Given , ` 4 cos ^(2) x + 6 sin^(2) x = 5`
` Rightarrow 4(cos^(2) x + sin^(2)x) + 2 sin^(2) x=5`
` [ therefore cos^(2)x + sin^(2) x=1]`
` Rightarrow 2sin^(2) x = 5-4`
` Rightarrow sin x = +- 1/sqrt2`
` x = n pi +- pi/4`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
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  6. lim(n to oo) 1/n sum(r=1)^(2n) r/(sqrt(n^(2)+r^(2))) equals

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  8. If A = [ a,b] , B = [ - b, -a] and C = [ overset(a) underset(-a).] t...

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  9. Let p and q be two statement s, then ( p v q) v ~ p is

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  10. If a + b + c = 0 and |a| = 1, |b| = 1, |c| = sqrt3 ,then the angle be...

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  11. Which of the term is not used in a linear programming problem ?

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  12. The function f(x) = a sin x + 1/3 sin 3x has maximum value at x = pi...

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  13. The equation of the normal to the curve y=sin x cos x " at " x=(pi)/(2...

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  17. Area bounded by the curves y = x ,y = tanx and x = pi/4 is

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  18. The solution of differential edquation (dy)/(dx) +1 = cosec (x+y) is

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  19. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

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