Home
Class 10
MATHS
In Fig, 10.13, XY and X'Y' are two paral...

In Fig, 10.13, XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AR with point of contact C intersecting XY at A and X'Y' at B. Prove that `angle AOB=90^@`.

Text Solution

Verified by Experts

The correct Answer is:
`90^(@)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    SWAN PUBLICATION|Exercise Exercise 10.1 (Fill in the blanks)|4 Videos
  • ARITHMETIC PROGRESSIONS

    SWAN PUBLICATION|Exercise Exercise 5.4|5 Videos
  • CONSTRUCTIONS

    SWAN PUBLICATION|Exercise EXERCISE 11.2|6 Videos

Similar Questions

Explore conceptually related problems

(True/ False) Two congruent circles with centres O and O' intersect at two points A and B. Then /_AOB = /_AO'B .

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that angle PTQ=2angleOPQ .

Knowledge Check

  • If the lines 12x + 5y + 16 = 0 and 12 x+ 5y - 10 = 0 are tangent to a circle then the radius is :

    A
    1
    B
    2
    C
    3
    D
    `2.5`
  • Similar Questions

    Explore conceptually related problems

    Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that /_ PTQ = 2 /_ OPQ .

    A straight line parallel to the line 2x-y+5 =0 is also a tangent to the curve y^2=4x+5 . Then the point of contact is

    y=3x is tangent to the parabola 2y=ax^2+ab . If b=36,then the point of contact is

    Tangent are parallel to the three sides are drawn to the in-circle. If x,y,z are the lengths of parts of the tangents with in triangle, then prove that x/a+y/b+z/c=1.

    The curve y-e^(xy)+x=0 has a vertical tangent at the point:

    In fig., two circles with centres O, O' touch externally at a point A. A line through A is drawn to intersect these circles in B and C. Prove that the tangents at B and C are parallel.

    Let 2x^2 + y^2- 3xy = 0 be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.