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Let 0 le alpha, beta, gamma, delta le p...

Let ` 0 le alpha, beta, gamma, delta le pi ` where `beta and gamma` are not complementary such that
`" " 2 cos alpha, 6 cos beta +7 cos gamma+9 cos delta=0`
`and 2 sin alpha-6sin beta+7sin gamma-9 sin delta=0`
If `(cos (alpha+delta))/(cos (beta+gamma))=(m)/(n)` where m and n are relatively prime positive numbers, then the value of `(m+n)` is equal to :

A

11

B

10

C

9

D

2

Text Solution

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The correct Answer is:
B
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Single Choice Questions: 1.Let 0<=alpha, beta, gamma, delta,<=pi where beta and gamma are not complementary such that 2cos alpha+ 6 cos beta+7 cos gamma+9 cos delta=0 and 2 sin alpha- 6 sin beta+7 sin gamma-9 sin delta=0 if cos(alpha+delta)/cos(beta+gamma)=m/n when m and n are relatively prime positive numbers, then the value of (m+n) is equal to (A)11 (B)10 (C)9 (D)7

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