JEE Main 2016 · 9 Apr · Shift 1 · Mathematics Q80

MathematicsSingle correct+4 / -1Question 80 of 90

A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle ?

4x + 5y − 6 = 0

2x − 3y + 10 = 0

3x + 4y − 3 = 0

5x + 2y + 4 = 0

Answer and worked solution

Official answer: B

The centre is (h, 2) with radius |h|. Through (−2, 4): $(h+2)^2+4=h^2$ , so h = −2. A diameter must pass through (−2, 2), and $2x-3y+10=0$ does.

JEE Main 2016 · 9 Apr · Shift 1, Mathematics question 80