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The equation a sin x+b cos x=c, where ab...

The equation a sin x+b cos x=c, where `abscgtsqrt(a^2+b^2` has

A

a unique solution

B

infinite number of solutions

C

no solution

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
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  2. Solution of abs(4x+3)+abs(3x-4)=12 are

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  3. The equation a sin x+b cos x=c, where abscgtsqrt(a^2+b^2 has

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  4. The value of (1-tan^2 15^@)/(1+tan^2 15^@) is

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  5. The value of sin 55^@-sin19^@+sin53^@-sin17^@ is always equal to

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  6. If alpha in [pi/2,pi], then the value of sqrt(1+sin alpha)- sqrt(1-sin...

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  7. Let alpha,beta be such that pi lt alpha-beta lt3 pi. If sin alpha+ sin...

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  8. If alpha is a root of 25 cos^2 theta+5 cos theta-12=0, pi/2 lt alpha l...

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  9. Let f(theta)=sin theta(sin theta+ sin 30) then f(theta)

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  10. The general solution of the equation, 2cos 2x=3 cdot 2 cos^2 x-4 is

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  11. Angles A and B are obtuse angles such that, tan A + tan B + tan A tan ...

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  12. If x in [0,pi/2], the number of solutions of the equation, sin 7x + si...

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  13. The principal solution set of the equation, 2 cos x = sqrt(2+2sin2x) i...

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  14. The value of x and y satisfying the equations log(100)abs(x+y)=1/2, lo...

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  15. Total number of solutions of [sin x] + cos x = 0, where [.] denotes th...

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  16. Let f(n)=[1/2+n/100], where [.] denotes the greatest integer function,...

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  17. If 0lt thetalt 2pi, then the intervals of values of theta for which 2...

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  18. Number of solutions of the equation [2x] - 3{2x} = 1 is (where [/] and...

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  19. If x ge0 and yge0, then the area bounded by the graph of [x] + [y] = 2...

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  20. Let cos(alpha+beta)=4/5 and let sin(alpha-beta)=5/13, where 0le alpha,...

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