Home
Class 12
MATHS
If a chord of a circle x^2 + y^2 =32 mak...

If a chord of a circle `x^2 + y^2 =32` makes equal intercepts of length `l` of the co-ordinates axes, then

A

`l lt 8`

B

`l lt 16`

C

`l gt 8`

D

`l gt 16`

Text Solution

Verified by Experts

The correct Answer is:
A
Centre `-= (0,0)`
We must have `|(l)/(sqrt(2))| lt sqrt(32)`
`rArr |l| lt 8`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|9 Videos

  • CIRCLES

    CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos

  • CIRCLE

    CENGAGE PUBLICATION|Exercise For problems 3 and 4|2 Videos

  • COMPLEX NUMBERS

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which makes equal intercepts on the positive coordinates axes.

If (2,5) is an interior point of the circle x^2+y^2-8x-12y+P=0 and the circle neither cuts nor touches any one of the co-ordinate axes then :

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) x+y=2 (b) x-y=2 (c) 2x-y=1 (d) none of these

If the parabola x^(2) = ay makes an intercept of length sqrt(40) unit on the line y - 2 x = 1 , then a is equal to

Find the points of intersection (if any) of the line x+2y-5=0 and the circle x^2+y^2=25. In case the line cuts the circle, find the length of the chord intercepted.

Find the equation of the straight line which passes through the intersection of the straight lines 2x+3y=5 and 3x+5y=7 and makes equal positive intercepts upon the coordinate axes.

Find the equation of the straight line which passes through the intersection of the straght lines 2x + 3y = 5 and 3x + 5y = 7 and makes equal positive intercepts upon the coordinate axes .

If the parabola x^2=ay makes an intercept of length sqrt40 unit on the line y-2x = 1 then a is equal to

y = 2x is a chord of the circle x^2 + y^2 -10 x = 0 . Find the equation of a circle whose diameter is the chord of, given circle

The number of lines that are parallel to 2x + 6y -7 = 0 and have an intercept 10 between the co-ordinates axis is :