Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEST2013MathematicsTrigonometric Ratios & Identities

Let X Y be a diameter of a circular pond of radius R . A vertical pole of height H(H 2 R) is erected at Y . An observer at X finds that the angle of elevation of the top of the pole is . He then walks along the circumference to a point Z and finds that the angle of elevation of the top of the pole is 2 . If L is the length of the minor arc X Z then,

Options

  1. AL R 3
  2. BL 2 R 3
  3. CL=2 R ⁻¹ ( 4 R^2-H^2 8 R^2 )
  4. DL=2 R ⁻¹ ( 4 R^2-H^2 8 R^2 )

Correct answer

C. L=2 R ⁻¹ ( 4 R^2-H^2 8 R^2 )

Step-by-step solution

No solution available.

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All NEST PYQs