This type of question, asked 6 times: 2021 Paper 3, 8 Apr 2024, 22 Jan 2025, 24 Jan 2025, 29 Jan 2025, 21 Jan 2026 S2. All 6 questions below, oldest first.
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Question 1
2021 Paper 3
73
The image of the point (3,5) in the line x−y+1=0, lies on:
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Question 2
8 Apr 2024
151
If the image of the point (−4,5) in the line x+2y=2 lies on the circle (x+4)2+(y−3)2=r2, then r is equal to :
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Question 3
22 Jan 2025
53
Let the triangle PQR be the image of the triangle with vertices (1,3),(3,1) and (2,4) in the line x+2y=2. If the centroid of △PQR is the point (α,β), then 15(α−β) is equal to :
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Question 4
24 Jan 2025
69
Let the lines 3x−4y−α=0,8x−11y−33=0, and 2x−3y+λ=0 be concurrent. If the image of the point (1,2) in the line 2x−3y+λ=0 is (1357,13−40), then ∣αλ∣ is equal to :
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Question 5
29 Jan 2025
54
Let ABC be a triangle formed by the lines 7x−6y+3=0,x+2y−31=0 and 9x−2y−19=0, Let the point (h,k) be the image of the centroid of ΔABC in the line 3x+6y−53=0. Then h2+k2+hk is equal to
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Question 6
21 Jan 2026 S2
75
If P is a point on the circle x2+y2=4,Q is a point on the straight line 5x+y+2=0 and x−y+1=0 is the perpendicular bisector of PQ , then 13 times the sum of abscissa of all such point P is ____ .
