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📐 Mathematics  ·  Straight Lines  ·  JEE

The chord of contact of tangents from (h,k) to circle x²+y²=r² is:

Answer: hx + ky = r².

  • A hx + ky = r²
  • B hx - ky = r²
  • C x² + y² = r² + hk
  • D h² + k² = r²

Correct answer: A. hx + ky = r²

Explanation: Using T=0 formula: replace x² by hx and y² by ky in the circle equation. This gives hx+ky=r² as the chord joining the two tangent-points from external point (h,k). Ans: hx+ky=r².

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

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