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Coordinate Geometry

CH07 Question Bank

CBSE_CH07_QUESTION_BANK

Grade 10

Question:

If the distance between the points $(x,2)$ and $(3,6)$ is $5$ units, the possible value(s) of $x$ are:

$x=6$ only
$x=0$ only
$x=0$ or $x=6$
$x=3$ or $x=-3$

Step-by-Step Solution

Key Concept: Set up the distance formula equation and solve the resulting quadratic.

$\sqrt{(x-3)^2+16}=5\Rightarrow(x-3)^2=9\Rightarrow x-3=\pm3$. [0.5 Mark]

$x=6$ or $x=0$. [0.5 Mark]

Correct Answer: $x=0$ or $x=6$

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