Mathematics · 2023
JEE Main · 29 January 2023, Shift 1 · Q71
A light ray emits from the origin making an angle 30^° with the positive x -axis. After getting reflected by the line x+y=1, if this ray intersects x…
A light ray emits from the origin making an angle $\displaystyle 30^{\circ}$ with the positive $\displaystyle x$-axis. After getting reflected by the line $\displaystyle x+y=1$, if this ray intersects $\displaystyle x$-axis at $\displaystyle Q$, then the abscissa of $\displaystyle Q$ is
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{2}{3+\sqrt{3}}$
More from Straight Lines
- Consider the lines x(3 λ+1)+y(7 λ+2)=17 λ+5, λ being a parameter, all passing through a point P. One of these lines (say L ) is farthest from the…2025
- Let A B C be an isosceles triangle in which A is at (-1,0), ∠ A=(2 π)/3, A B=A C and B is on the positve x -axis. If B C=4 √3 and the line B C…2024
- Let ABC be a triangle formed by the lines 7 x-6 y+3=0, x+2 y-31=0 and 9 x-2 y-19=0. Let the point (h, k) be the image of the centroid of Δ ABC in the…2025
- If the point (α, (7 √3)/3) lies on the curve traced by the mid-points of the line segments of the lines x cos θ+y sin θ=7, θ ∈(0, (π)/2) between the…2023
- Let the vertex A of a triangle A B C be (1,2), and the mid-point of the side A B be (5,-1). If the centroid of this triangle is (3,4) and its…2026
- If x^2-y^2+2 h x y+2 g x+2 f y+c=0 is the locus of a point, which moves such that it is always equidistant from the lines x+2 y+7=0 and 2 x-y+8=0,…2024
- Let A(6,8), B(10 cos α,-10 sin α) and C(-10 sin α, 10 cos α), be the vertices of a triangle. If L(a, 9) and G(h, k) be its orthocenter and centroid…2025
- Let the area of the triangle formed by a straight line L: x+b y+c=0 with co-ordinate axes be 48 square units. If the perpendicular drawn from the…2025
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.