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Consider the system of equations sin x...

Consider the system of equations
`sin x cos 2y=(a^(2)-1)^(2)+1, cos x sin 2y = a+1`
The number of values of `y in [0, 2pi]`, when the system has solution for permissible values of a, are

A

`((-pi)/(2), (-pi)/(2))`

B

`((pi)/(2), (3pi)/(2))`

C

`((3pi)/(2), (-pi)/(2))`

D

`((-pi)/(2), (3pi)/(2))`

Text Solution

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The correct Answer is:
A, B, C, D
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
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  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  9. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

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  16. Given an isosceles triangle, whose one angle is-2pi/3 and the radius o...

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  17. In Delta ABC, which one is true among the following ?

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  18. Let a vertical tower A b have its end A on the level ground. Let C be ...

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  19. ABCD is a trapezium such that AB and CD are parallel and BC | CD. If ...

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  20. For a regular polygon, let r and R be the radii of the inscribed and ...

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  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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