Zaymiey

📐 Mathematics  ·  Straight Lines  ·  JEE

Equation of tangent to circle x² + y² = 25 at point (3,4) is:

Answer: 3x + 4y = 25.

  • A 3x + 4y = 25
  • B 4x + 3y = 25
  • C 3x - 4y = 25
  • D x + y = 7

Correct answer: A. 3x + 4y = 25

Explanation: Tangent to x² + y² = r² at (x<sub>1</sub>,y<sub>1</sub>) is xx<sub>1</sub> + yy<sub>1</sub> = r². Here: 3x + 4y = 25.

Slope as Rise over Runxy(x₁,y₁)(x₂,y₂)run = x₂−x₁rise = y₂−y₁m = rise/run = (y₂−y₁)/(x₂−x₁) = tanθ

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

Read the full Straight Lines notes →