Let 'C' be the circle with centre (0,0 )...

Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equation of the locus of the mid points of chords of the circle 'C' that subtend an angle of `2pi//3` at its centre is:

A

`x^2+y^2 =3/2`

B

`x^2+y^2=1`

C

`x^2+y^2=27/4`

D

`x^2+y^2=9/4`

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

CIRCLES AND SYSTEMS OF CIRCLES
MODERN PUBLICATION|Exercise AIEEE/JEE Examination|9 Videos
CIRCLES AND SYSTEMS OF CIRCLES
MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
CIRCLES AND SYSTEMS OF CIRCLES
MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES
MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos

Similar Questions

Explore conceptually related problems

The locus of the mid-points of chords of the circle x^2+y^2 =4 , which subtend a right angle at the origin, is:

Equation of circle with centre at (-4,3) and radius 4 is

The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 which subtends a right angle at the origin is

A circle touches the x - axis and also touches the circle with centre (0,3) and radius 2. The locus of the centre of the circle is :

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to :

Find the length of the chord of a circle of radius 8 cm which subtends a right angle at the centre.

State true or false . The mid point of any diameter of a circle is the centre.

Find the equation of the circle with centre at (0,0) and radius r .

Area of the circle in which a chord of length sqrt2 makes an angle pi/2 at the centre,

The line y=x is a tangtnt at (0,0) to a circle of radius unity. The centre of the circle is

MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II

The equation of the family of circles, which same radical axis, as the...
Text Solution
|
If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...
Text Solution
|
The radius of the smallest circle, which passes through the points of ...
Text Solution
|
The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...
Text Solution
|
The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...
Text Solution
|
If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...
Text Solution
|
Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...
Text Solution
|
Locus of centroid of the triangle whose vertices are (a cos t, a sin t...
Text Solution
|
If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...
Text Solution
|
If a circle passes through the point (a, b) and cuts the circle x^2+y^...
Text Solution
|
If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...
Text Solution
|
If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of ...
Text Solution
|
Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equat...
Text Solution
|
Let ABCD be a quadrilateral with area 18, with side AB parallel to the...
Text Solution
|
Consider a family of circles which are passing through the point (-1, ...
Text Solution
|
The point diametrically opposite to the point P (1, 0) on the circle x...
Text Solution
|
If P and Q are the points of intersection of the circles x^2+y^2+3x+7y...
Text Solution
|
If a variable circle 'C' touches the x-axis and touches the circle x^2...
Text Solution
|
Three coins of unit radius are placed in an equilateral triangle as sh...
Text Solution
|
Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4...
Text Solution
|