Mathematics · 2019
JEE Main · 11 January 2019, Shift 1 · Q79
The straight line x+2 y=1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular…
The straight line $\displaystyle x+2 y=1$ meets the coordinate axes at A and B. A circle is drawn through $\displaystyle \mathrm{A}, \mathrm{B}$ and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is :
Official answer
(4)
$\displaystyle \frac{\sqrt{5}}{2}$
More from Circle
- A circle passing through the point P(α, β) in the first quadrant touches the two coordinate axes at the points A and B. The point P is above the line…2023
- If the circles x^2+y^2+6 x+8 y+16=0 and x^2+y^2+2(3-√3) x+2(4-√6) y=k+6 √3+8 √6, k>0, touch internally at the point P(α, β), then (α+√3)^2+(β+√6)^2…2022
- Consider the circle C: x^2+y^2-6 x-8 y-11=0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of…2026
- Let the circle x^2+y^2=4 intersect x -axis at the points A(a, 0), a>0 and B(b, 0). Let P(2 cos α, 2 sin α), 0<α<(π)/2 and Q(2 cos β, 2 sin β) be two…2026
- Let the tangents at two points A and B on the circle x^2+y^2-4 x+3=0 meet at origin O(0,0). Then the area of the triangle OAB is:2022
- The set of values of k, for which the circle C: 4 x^2+4 y^2-12 x+8 y+k=0 lies inside the fourth quadrant and the point (1,-1/3) lies on or inside the…2022
- The sum of the values of ' a ' for which circles of radius (√5)/3, touch the straight lines, x-2 y-a=0 and 3 x-6 y+7=0, is2021
- A circle touches the y -axis at the point (0,4) and passes through the point (2,0). Which of the following lines is not a tangent to this circle?2020
JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.