Home
Class 11
MATHS
Find the condition for the chord lx + my...

Find the condition for the chord lx + my=1 of the circle `x^(2)+y^(2)=a^(2)` to subtend a right angle at the origin.

Text Solution

Verified by Experts

The correct Answer is:
This is the required condition.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(c) II. |3 Videos

  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |45 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

Similar Questions

Explore conceptually related problems

Find the condition for the chord lx+my=1" of the circle "x^2+y^2=a^2 to subtend a right angle at the origion.

Find the locus of midpoint of chords of the circle x ^(2) + y ^(2) = r^(2) , substending a right angle at the point (a,b)

Knowledge Check

  • The condition that the chord of contact of the point (b,c) w.r.t. to the circle x^(2)+y^(2)=a^(2) should substend a right angled at the centre is

    A
    `b^(2)+c^(2)=a^(2)`
    B
    `b^(2)+c^(2)=2a^(2)`
    C
    `b^(2)+c^(2)=3a^(2)`
    D
    `2b^(2)+2c^(2)=a^(2)`

  • The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2)+y^(2)-a^(2)=0 subtend a right angle at the centre of the circle is

    A
    `a^(2)-2p^(2)`
    B
    `p^(2)=2a^(2)`
    C
    p=2a
    D
    `a^(2)-2p^(3)`

    • Similar Questions

    Explore conceptually related problems

    The locus of the midpoints oof chords of the circle x^(2)+y^(2)=4 which substends a right angle at the origin is

    Find the locus of the mid-point of the chord of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 which subtends a right angle at the origin.

    The locus of the point, the chord of contact of which wrt the circle x^(2)+y^(2)=a^(2) subtends a right angle at the centre of the circle is

    The locus of the foot of the perpendicular drawn from the origin to any chord of the circle x^(2)+y^(2)+2gx+2fy+c=0 which substents a right angle at the origin is

    Find the locus of the foot of the perpen- dircular drawn from the origin to any chord of the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 which subtends a right angle at the origin.

    Find the locus of the foot of the perpendicular drawn from the origin to any chord of the circles S = x^(2) + y ^(2) + 2gx + 2fy + c=0 which subtends a right angle at the origin.

    Home
    Profile