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number of integral value(s) of ‘p’ for which the equation 99cos2A – 20sin2A = 20p + 35 will have a solution is: (A)8 (B)9 (C)10 (D)11 please provide step-wise solution

number of integral value(s) of ‘p’ for which the equation 99cos2A – 20sin2A = 20p + 35 will have a solution is:
(A)8
(B)9
(C)10
(D)11
please provide step-wise solution

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Arunit
 
20 p + 35 will have range from [ – sqrt(99^2 + 20^2) , sqrt(99^2 + 20^2)]
 
Now equate and you will get range of P and then you can find no of integral values

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