Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the point A lies on 3x - 4y+l = 0, the point B lies on 4x + 3y - 7 = 0 and the point C is (-2,5). If ABCD is a rhombus, then the locus of Dis
Text Solution
Verified by ExpertsThe correct answer is:
A
25 ((x + 2) 2 + (y - 5) 2 ) = (3x - 4y + 1) 2
C(-2,5)lieson4x + 3 y -7 = 0
BC is perpendicular to 3x - 4y + 1 = 0
DA is perpendicular to 3x - 4y + 1 = 0
Because DA = DC
so, the distance of D from 3x - 4y + 1 = 0 is equal to DC
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The distance of the point (-1, l) from the line 12 (x + 6) = 5 (y - 2) is
If the straight line drawn through the point and inclined at an angle with the x - axis meets the…
The line 3x + 2y = 24 meets the y-axis at A & the x-axis at B. The perpendicular bisector of AB mee…
Let in coordinates of vertex A is (0, 0) . Equation of the internal angle bisector of is x + y -1…
The sum of all the values of | | such that the lines x + 2y - 3 = 0, 3x - y –1 = 0 and 2 x + y - …
If the line segment joining P (2,3) and Q (5,7) subtends a right angle at R (x, y) and the area of …