Tigonometry Identities based Practice Question of 14 March 2022

Question of The Day14-03-2022

If xcosθ + ysinθ = 24 and xsinθ – ycosθ = 7, then find the value of (13.75x² + 13.75y²)/125.

Answer

Correct Answer : d ) 68.75

Explanation :

According to the question

xcosθ + ysinθ = 24 …..(1)

xsinθ – ycosθ = 7……..(2)

we know that

If xcosθ + ysinθ = a, and

xsinθ – ycosθ = b

then (x² + y²)(sin²θ + cos²θ) = a² + b²

comparing eq (1) and (2) with the formula

⇒(x² + y²)(sin²θ + cos²θ) = 24² + 7²

⇒ 576 + 49 = 625

⇒(x² + y²)(sin²θ + cos²θ) = 625

⇒(x² + y²) = 625

⇒ 68.75

Hence, (d) is the correct answer.

1 LIKES

COMMENTS

Current-Affairs

Word Of The Day

Palmy

Something that is flourishing or marked by prosperity

Abounding in or shaded with palms

"I have known her since her palmy days when she was living in Delhi."

Paris Olympics 2024: Brief History of Olympics, Winners at Paris Olympics, Related Facts

Highlights of Union Budget 2024-25

Highlights of Interim Budget 2024

150+ Paryayvachi Shabd in Hindi - पर्यायवाची शब्द

Daily Current Affairs and GK | 6 November 2024

Daily Current Affairs and GK | 5 November 2024

Daily Current Affairs and GK | 1, 2, 3 and 4 November 2024

Daily Current Affairs and GK | 31 October 2024

Daily Current Affairs and GK | 30 October 2024

Banking Awareness of 2, 3 and 4 November 2024

Banking Awareness of 29, 30 and 31 October 2024

Banking Awareness of 26, 27 and 28 October 2024

Banking Awareness of 23, 24 and 25 October 2024

Banking Awareness of 20, 21 and 22 October 2024