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In a DeltaABC,3 sin A+4 cos B=6 and 3 co...

In a `DeltaABC,3 sin A+4 cos B=6` and `3 cos A+4 sinB=1`, then `angleC` can be

A

`30^(@)`

B

`60^(@)`

C

`90^(@)`

D

`150^(@)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
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  2. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

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  3. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

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  4. An equilateral triangle has side length 8. The area of the region cont...

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  6. If AD is the altitude on BC and AD produced meets the circumcircle of ...

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  7. One side of a rectangular piece of paper is 6 cm, the adjacent sides b...

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  8. Prove that the average of the numbers n sin n^@, n = 2,4,6...180 is c...

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  9. A circle is inscribed inside a regular pentagon and another circle is ...

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  10. The value of sum(r=1)^(18) cos^(2)(5r)^(@), where x^(@) denotes the x ...

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  11. Minimum value of cos theta is equal

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  12. In a triangle ABC, cos 3A + cos 3B + cos 3C = 1, then find any one ang...

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  13. (sqrt(1+sin 2A)+sqrt(1-sin 2A) )/(sqrt(1 + sin 2A)-sqrt(1-sin2A)) If |...

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  14. For any real theta, the maximum value of cos^(2)(costheta)+sin^(2)(sin...

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  15. Find the ragne of the expression 27^(cos 2x) 81^(sin 2x)

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  16. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  17. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

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  18. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

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  19. If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,co...

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  20. If t a nbeta=(n sinalphacosalpha)/(1-n sin^2alpha) , show that tan(alp...

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