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
विकल्प
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
From an external point P, tangents PA and PB are drawn to the circle with centre O. If CD is the tangent to the circle at point E and PA = 14 cm. Find the perimeter of ABCD.
In the given figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.
In the given figure, a circle inscribed in a triangle ABC touches the sides AB, BC and CA at points D, E and F respectively. If AB = 14 cm, BC = 8 cm and CA = 12 cm. Find the lengths AD, BE and CF.
In the given figure, AB and CD are diameters of a circle with centre O. If ∠OBD = 50°, find ∠AOC.
In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
A chord of length 14 cm is at a distance of 6 cm from the centre of a circle. The length of another chord at a distance of 2 cm from the centre of the circle is
Number of circles that can be drawn through three non-collinear points is
In the given figure, seg MN is a chord of a circle with centre O. MN = 25, L is a point on chord MN such that ML = 9 and d(O,L) = 5. Find the radius of the circle.
A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord
From the figure, identify a diameter.
