This question was previously asked in

SSC CGL Previous Paper 65 (Held On: 3 March 2020 Shift 1)

- 25
- 0
- 16
- 41

Option 4 : 41

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306304

10 Questions
10 Marks
7 Mins

Given, x = 4 cos A + 5 sin A and y = 4 sin A - 5 cos A

Hence, x^{2} + y^{2} = (4 cos A + 5 sin A)^{2} + (4 sin A - 5 cos A)^{2}

⇒ 16 cos^{2} A + 25 sin^{2} A + 40 cos A sinA + 16 sin^{2} A + 25 cos^{2}A - 40 sin A cos A

⇒ 16 (sin^{2} A + cos^{2} A) + 25 (sin^{2} A + cos^{2} A)

⇒ 16 + 25

⇒ 41
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