Mathematics

Geometry and Trigonometry

94 Questions

Geometry and trigonometry questions cover circles, tangents, and trigonometric ratios. Problems often combine algebraic geometry with angle properties to test spatial reasoning. This forms a core component of the mathematics section in engineering and civil services exams.

Circle tangentsTrigonometric ratiosHyperbola propertiesEllipse tangentsSecant construction

Geometry and Trigonometry Questions

Multiple choice

The reciprocal of the tangent of an angle is called the:

  1. Cosecant

  2. Secant

  3. Cotangent

  4. Cosine
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The cotangent of an angle is defined as the reciprocal of the tangent of the angle.

Multiple choice

The trigonometric ratio that relates the length of the adjacent side to the length of the hypotenuse is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Multiple choice

The trigonometric ratio that relates the length of the hypotenuse to the length of the adjacent side is called the:

  1. Sine

  2. Cosine

  3. Tangent

  4. Secant
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The secant of an angle is defined as the ratio of the length of the hypotenuse to the length of the adjacent side.

Multiple choice

What is the value of the tangent of 45 degrees according to Aryabhata?

  1. 0.5

  2. 0.866

  3. 1

  4. 1.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Aryabhata calculated the tangent of 45 degrees to be 1, which is an accurate approximation.