Straight Lines6 questions6 PYQ

Straight Lines — JEE Maths Practice Questions & Solutions

6 questions on Straight Lines with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
From the point (−1,−1)(-1,-1), two rays are sent making angles of 45∘45^\circ with the line x+y=0x+y=0. These rays get reflected from the mirror x+2y=1x+2y=1. If the equations of the reflected rays are ax+by=9ax+by=9 and cx+dy=7cx+dy=7 with a,b,c,d∈Za,b,c,d\in\mathbb{Z}, then ad+bcad+bc is
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mediumPYQ · JEE Main 2026
In an equilateral triangle PQRPQR, let the vertex PP be at (3,5)(3,5) and the side QRQR be along the line x+y=4x+y=4. If the orthocentre of the triangle is (α,β)(\alpha,\beta), then 9(α+β)9(\alpha+\beta) is equal to
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mediumPYQ · JEE Main 2026
Let the vertex AA of a triangle ABCABC be (1,2)(1,2), and the mid-point of the side ABAB be (5,−1)(5,-1). If the centroid of the triangle is (3,4)(3,4) and its circumcenter is (α,β)(\alpha,\beta), then 21(α+β)21(\alpha+\beta) is equal to
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mediumPYQ · JEE Main 2026
Let the line L1:x+3=0L_1:x+3=0 intersect the lines L2:x−y=0L_2:x-y=0 and L3:3x+y=0L_3:3x+y=0 at the points AA and BB, respectively. Let the bisector of the obtuse angle between the lines L2L_2 and L3L_3 intersect the line L1L_1 at the point CC. Then BC2AC2\dfrac{BC^2}{AC^2} is equal to
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mediumPYQ · JEE Main 2026
Let A,BA,B be points on the two half-lines x−3 ∣y∣=αx-\sqrt3\,|y|=\alpha, α>0\alpha>0, at a distance α\alpha from their point of intersection PP. The line segment ABAB meets the angle bisector of the given half-lines at the point QQ. If PQ=92PQ=\dfrac92 and RR is the radius of the circumcircle of △PAB\triangle PAB, then α2R\dfrac{\alpha^2}{R} is equal to
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easyPYQ · JEE Main 2026
Let the mid points of the sides of a triangle ABCABC be (52,7),(52,3)\left(\dfrac52,7\right),\left(\dfrac52,3\right) and (4,5)(4,5). If its incentre is (h,k)(h,k), then 3h+k3h+k is equal to
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