Class 10th Coordinate Geometry Quiz
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Questions and Answers

What is the equation of a circle with its center at (3, -4) and a radius of 5 units?

  • $(x-3)^2 + (y+4)^2 = 25$ (correct)
  • $(x+3)^2 + (y-4)^2 = 25$
  • $(x-3)^2 + (y+4)^2 = 5$
  • $(x+3)^2 + (y-4)^2 = 5$

    • If the point (5, -2) lies on the circle $x^2 + y^2 - 6x + 4y - 12 = 0$, what is the center of the circle?

  • (6, 4)
  • (3, 2)
  • (3, -2) (correct)
  • (6, -4)

    • What is the equation of a line that passes through the points (1, 3) and (4, 7)?

  • $y = \frac{4}{3}x + \frac{1}{3}$
  • $y = \frac{3}{4}x - \frac{1}{4}$
  • $y = \frac{4}{3}x - \frac{1}{3}$ (correct)
  • $y = \frac{3}{4}x + \frac{1}{4}$

    • If the circles $x^2 + y^2 - 6x + 4y - 12 = 0$ and $(x-9)^2 + (y-7)^2 = 25$ intersect at two distinct points, what is the distance between their centers?

    <p>$\sqrt{215}$ units</p> Signup and view all the answers

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