Home
Class 12
MATHS
If the circle C(2) of radius 5 intersect...

If the circle `C_(2)` of radius 5 intersects othe circle `C_(1):x^(2)+y^(2)=16` such that the common chord is in maximum length and its slope is `(3)/(4)`, then the centre of `C_(2)` will be-

A

`((9)/(5), (-12)/(5))`

B

`((-9)/(5), (12)/(5))`

C

`((9)/(5), (12)/(5))`

D

`((-9)/(5), (-12)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

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

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D Comprehension Type)|6 Videos

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Long Answer Type Questions)|25 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

If the circle C_1: x^2 + y^2 = 16 intersects another circle C_2 of radius 5 in such a manner that,the common chord is of maximum length and has a slope equal to 3/4 , then the co-ordinates of the centre of C_2 are:

Two circles C_1 and C_2 intersect in such a way that their common chord is of maximum length. The center of C_1 is (1, 2) and its radius is 3 units. The radius of C_2 is 5 units. If the slope of the common chord is 3/4, then find the center of C_2dot

Knowledge Check

  • If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

    A
    `a_1a_2gt0`,`clt0`
    B
    `a_1a_2gt0`,`cgt0`
    C
    `a_1a_2lt0`,`clt0`
    D
    `a_1a_2lt0`,`cgt0`

  • Two equal circles of radius r intersect each other such that each passes through the centre of the other.The length of the common chord is

    A
    r
    B
    `r sqrt2`
    C
    `r sqrt3`
    D
    `1/2 r sqrt3`

    • Similar Questions

    Explore conceptually related problems

    If tangent at (1, 2) to the circle C_1: x^2+y^2= 5 intersects the circle C_2: x^2 + y^2 = 9 at A and B and tangents at A and B to the second circle meet at point C, then the co- ordinates of C are given by

    Two equal circles of radius 10 cm intersect each other and the length of their common chord is 12 cm . Find the distance between the centre of the circle .

    Two circles intersect each other. Radius of both the circles is 10cm in length and length of the common chord is 16cm. What is the distance between the centres of the two circles?

    Find the centre and radius of each of the following circles : 3(x^(2) + y^(2)) = 5x + 6y - 4

    Two each circles of radius 13 cm intersect each other and the length of their common chord is 10 cm. find the distance between the centre of the circle.

    A circle C_1 of radius b touches the circle x^2 + y^2 =a^2 externally and has its centre on the positiveX-axis; another circle C_2 of radius c touches the circle C_1 , externally and has its centre on the positive x-axis. Given a lt b lt c then three circles have a common tangent if a,b,c are in?

    Home
    Profile