Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10
Question:
Assertion (A): The distance between $(2,3)$ and $(2,7)$ is $4$ units. Reason (R): When the $x$-coordinates of two points are equal, the distance formula reduces to $|y_2-y_1|$.
Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. Assertion (A) is true, but Reason (R) is false. Assertion (A) is false, but Reason (R) is true.
Step-by-Step Solution
Key Concept: Direct simplification of the distance formula for a vertical segment.
$d=\sqrt{0^2+(7-3)^2}=4$ — A is true. [0.5 Mark]
R correctly explains why this simplification occurs, so R correctly explains A. [0.5 Mark]
Correct Answer:Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A.
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Coordinate Geometry with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.