Home
Class 12
MATHS
Distance between two points A and B is 4...

Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L. Let `p_(1)` and `p_(2)` be the length of perpendicular from A and B on the L respectively such that `p_(1) + 3p_(2) = k` (k is constant). The line always touches a fixed circle C.
If the coordinates of A and B be (-2, 0) and (2, 0) respectively, then coordinate of C-

A

is (0, 1)

B

is (1, 0)

C

is `((3)/(2), 0)`

D

is imposible to find out

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (B Integer Answer Type)|5 Videos

  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

Similar Questions

Explore conceptually related problems

Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L. Let p_(1) and p_(2) be the length of perpendicular from A and B on the L respectively such that p_(1) + 3p_(2) = k (k is constant). The line always touches a fixed circle C. Centre of C is -

Distance between two points A and B is 4 unit. Both A and B are lying same side of a variable line L. Let p_(1) and p_(2) be the length of perpendicular from A and B on the L respectively such that p_(1) + 3p_(2) = k (k is constant). The line always touches a fixed circle C. If k = 4 then the raidus of C will be -

P is a point on the line segment bar(AB) such that AP = PB. If the coordinates of A and B are (3, -4) and (-5, 2) respectively find the coordinates of P.

if P is the length of perpendicular from origin to the line x/a+y/b=1 then prove that 1/(a^2)+1/(b^2)=1/(p^2)

A straight line moves such that the algebraic sum of the perpendiculars drawn to it from two fixed points is equal to 2k . Then, then straight line always touches a fixed circle of radius. 2k (b) k/2 (c) k (d) none of these

A and B are two independent events such that P(A^C) = 0.7, P(B) = k and P(A uB) = 0.8 , then K is

Let a given line L_1 intersect the X and Y axes at P and Q respectively. Let another line L_2 perpendicular to L_1 cut the X and Y-axes at Rand S, respectively. Show that the locus of the point of intersection of the line PS and QR is a circle passing through the origin

A and B are two independent event. It P(A) = 1/2 and P(A cup B) =2/3,find the value of P(B).

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

The intercepts of a straight line upon the coordinate axes are a and b . If the length of the perpendicular on this line from the origin be p, prove that (1)/(a^(2))+(1)/(b^(2))=(1)/(p^(2)) .