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Probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsProbability1 Mark
MCQ
A circle with center $(3, 8)$ contains the point $(2, -1)$. Another point on the circle is:
  • A
    $(1, -10)$
  • ✓
    $(4, 17)$
  • C
    $(5, -9)$
  • D
    $(7, 15)$
✓

Answer

Correct option: B.
$(4, 17)$
$=r^2= (x - 3)^2+ (y - 8)^2$
Given $(2, -1)$ lies on the circle
$= r^2= (2 - 3)^2+ (-1 -8)^2$
$= r^2= 1 + 81$
$= r^2= 82$
Circle equation is: $(x - 3)^2+ (y - 8)^2= 82$
By trial and error, substitute the point
in the above equation
$(4 - 3)^2+ (17 - 8)^2= 82$
hence , $(4, 17)$ satisfy the circle euation.

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