Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The range of λ , if the line 3x – 4y = λ meets the circle x 2 + y 2 –4x –8y – 5 = 0 in real points-
Text Solution
Verified by ExpertsThe correct answer is:
B
Eliminating y from circle and line
25x 2 –2(3 λ + 80)x + ( λ 2 +32 λ –80) = 0
for real points
B 2 – 4AC > 0. on solving
∴ λ 2 + 20 λ – 525 < 0 ⇒ ( λ + 35) ( λ –15) < 0
⇒ –35 < λ < 15
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 number of points with integral coordinates that are interior to the circle is
The range of values of a for which the point ( a , 4) is outside the circles and is
If two circles and intersect in two distinct points, then
The equation of the circle having the lines as its normals and having size just sufficient to cont…
The abscissas of two points A and B are the roots of the equations and their ordinates are the roo…
The point ([p + 1], [p]) lying inside the circle x 2 + y 2 – 2x – 15 = 0, then set of all values o…