Advertisements
Advertisements
प्रश्न
In the given figure, chords AD and BC intersect each other at right angles at a point P. If ∠DAB = 35°, then
पर्याय
35°
45°
55°
65°
Advertisements
उत्तर
55°
`angleBAD = angleBCD = 35°` (Angle in the same segment are equal.)
Also, since the chords ‘AD’ and ‘BC’ intersect perpendicularly we have,
`angleCPD = 90°`
Consider the triangle ΔCPD ,
`angleCPD + anglePDC + anglePCD = 180°`
`anglePDC = 180° - anglePCD - angleCPD`
= 180° - 35° - 90°
= 55°
`anglePDC = angleADC = 55°`
APPEARS IN
संबंधित प्रश्न
In Fig., if AB = AC, prove that BE = EC
PA and PB are tangents from P to the circle with centre O. At point M, a tangent is drawn cutting PA at K and PB at N. Prove that KN = AK + BN.
If the quadrilateral sides touch the circle prove that sum of pair of opposite sides is equal to the sum of other pair.
In the fig two tangents AB and AC are drawn to a circle O such that ∠BAC = 120°. Prove that OA = 2AB.
In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of:
- ∠AOB,
- ∠ACB,
- ∠ABC.
In the given figure, O is the centre of two concentric circles of radii 4 cm and 6 cm respectively. PA and PB are tangents to the outer and inner circle respectively. If PA = 10 cm, find the length of PB up to one place of decimal.
In the given figure, PQ is a chord of a circle with centre O and PT is a tangent. If ∠QPT = 60°, find ∠PRQ.
A point P is 10 cm from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to ______
The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is ______
Is every chord of a circle also a diameter?
