Home
Class 12
MATHS
If a variable line 3x+4y-lamda=0 is such...

If a variable line `3x+4y-lamda=0` is such that the two circles `x^(2)+y^(2)-2x-2y+1=0 " and" x^(2)+y^(2)-18x-2y+78=0` are on its opposite sides, then the set of all values of `lamda` is the interval (a) [12,21] (b) (2, 17) (c) (23, 31) (d) [13, 23]

A

[12,21]

B

(2, 17)

C

(23, 31)

D

[13, 23]

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 5 (Parabola)|8 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 6 (Ellipse)|3 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2 (Straight Lines)|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = 0

The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+18y+26=0 , is -

Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y+9=0

The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^2+y^2+6x+18y+26=0

The line 2x+y+lamda=0 is a normal to the parabola y^(2)=8x, is lamda =

Prove the equation of the tangent from any point on the line 3x-8y+2=0 to the circles x^(2)+y^(2)+2x-10y+12=0 and x^(2)+y^(2)-4x+6y+8=0 are equal.

The number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0 is :

Prove that the centres of the circles x^(2) + y^(2) - 10x + 9 = 0, x^(2) + y^(2) - 6x + 2y + 1 = 0 and x^(2) + y^(2) - 18x - 4y + 21 = 0 lie on a line, find the equation of the line on which they lie.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.