Question icon
Grade 11Trigonometry

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

Profile image of Arunit Adhikary
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
7 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