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Question

Mathematics Question on Straight lines

Find the maximum value of 15sin θ + 20cos θ.

A

(A) 25

B

(B) 35

C

(C) 30

D

(D) 5

Answer

(A) 25

Explanation

Solution

Explanation:
Given: 15sin θ + 20cos θHere a = 15 and b = 20Then the maximum value =152+202=225+400=(625)=25∴ The maximum value of 15sin θ + 20cos θ is 25.Hence, the correct option is (A).