Foot of perpendicular and image of a point

JEE Main Mathematics · Straight Lines · 8 questions, latest first

• From the point (-1, -1), two rays are sent making angles of 45° with the line x+y=0. These rays get reflected from the mirror x+2…20265 April, Shift 2 · Q22
• If P is a point on the circle x^2+y^2=4, Q is a point on the straight line 5 x+y+2=0 and x-y+1=0 is the perpendicular bisector of…202621 January, Shift 2 · Q22
• 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…202529 January, Shift 1 · Q10
• Let the triangle PQR be the image of the triangle with vertices (1,3), (3,1) and (2,4) in the line x+2 y=2. If the centroid of Δ…202522 January, Shift 1 · Q10
• A ray of light coming from the point P(1,2) gets reflected from the point Q on the x -axis and then passes through the point…20249 April, Shift 1 · Q14
• If the image of the point (-4,5) in the line x+2 y=2 lies on the circle (x+4)^2+(y-3)^2=r^2, then r is equal to:20248 April, Shift 2 · Q15
• Let a ray of light passing through the point (3,10) reflects on the line 2 x+y=6 and the reflected ray passes through the point…20248 April, Shift 2 · Q22
• 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…202329 January, Shift 1 · Q71