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Trigonometrical Equations
normal
The number of integral value $(s)$ of $'p'$ for which the equation $99\cos 2\theta - 20\sin 2\theta = 20p + 35$ , will have a solution is
A
$8$
B
$9$
C
$10$
D
$11$
Solution
$-101 \leq 99 \cos 2 \theta-20 \sin 2 \theta \leq 101$
$\therefore $ Given equation will have a solution,
if $-101 \leq 20 p+35 \leq 101 \Rightarrow-6.8 \leq p \leq 3.3$
Hence number of integral value$(s)$ of $'p'= 10$
Standard 11
Mathematics