Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let ax + by + c = 0 be a variable straight line where a, b, c are 1 st , 3 rd and 7 th term of some increasing A.P. Then the variable straight line always passes through a fixed point which lies on.
A
x 2 + y 2 = 13
B
x 2 + y 2 = 5
C
y 2 = 
x
x
D
3x + 4y = 9
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c)
Straight line can be written as
[d is common diff. of AP]
ax + (a + 2d) y + (a + 6d) = 0
a(x + y + 1) + 2d (y + 3) = 0
x + y + 1 = 0 & y + 3 = 0
⇒ x = 2, y = – 3
point is (2,– 3)
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
Equation of a straight line on which length of perpendicular from the origin is four units and the …
If we reduce to the form , then the value of p is
The algebraic sum of the perpendicular distances from the points (2,0), (0, 2) and (1, 1) to a vari…
The line L has intercepts a and b on the co-ordinate axes. Keeping the origin fixed, the co-ordinat…
Let 2x–3y =0 be a given line and P (sin θ θ , 0) and Q (0, cos θ θ ) be the two points. Then P and …
If the line ax + by = 1 passes through point of intersection of y = x tan α + p sec α , y sin(30 0 …