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If cos alpha = -12//13 , cot beta = 24/...

If ` cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@) and 180^(@) lt beta lt 270^(@)` , then the quadrant in which ` alpha + beta ` lies

A

I

B

II

C

III

D

IV

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The correct Answer is:
D
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AAKASH SERIES-COMPOUND ANGLES-EXERCISE - II
  1. If 270^(@) lt A lt 360^(@), 90^(@) lt B lt 180^(@) , cos A =5//13 , ta...

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  2. In Delta ABC, A is an obtuse angle , sin A =3//5 , sin B= 5//13 " the...

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  3. If cos alpha = -12//13 , cot beta = 24//7 , 90^(@) lt alpha lt 180^(@...

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  4. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

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  5. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

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  6. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

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  7. The value of ( sin theta )/( sin^(2) (pi//8 + theta //2)-sin^(2)(pi//8...

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  8. 2(cos^(2) 73^(0) +cos^(2)47^(0)) - cos 154^(0) =

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  9. If Tan40^(@) + 2 Tan 10^(@) = Cotx then x =

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  10. If A+B+C= 360^(@) " then " cot""(A)/(4)+ cot ""(B)/(4) + cot ""(C)/(4)...

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  11. Tan (A-B) + Tan (B-C) + Tan (C-A)

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  12. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  13. If alpha + beta + lambda = (pi)/(2) and cot alpha, cot beta, cot lamb...

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  14. If Sin x Cosy = 1/4 and 3Tanx = 4 Tany then Sin (x - y) =

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  15. If Cot A Cot B = 2 & Cos (A+B) = 3/5 then Sin A Sin B

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  16. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

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  17. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

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  19. If (CosA)/(CosB)=nand(SinA)/(SinB)=m then (m^(2) - n^(2)) Sin^(2) B =

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  20. If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then ...

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