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°
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
Two circles touch each other externally at P. AB is a common tangent to the circles touching them at A and B. The value of ∠ L APB is
(A) 30°
(B) 45°
(C) 60°
(D) 90°
Write True or False. Give reason for your answer.
Line segment joining the centre to any point on the circle is a radius of the circle.
true or false
A circle is a plane figure.
In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.
The greatest chord of a circle is called its
The figure given below shows a circle with center O in which diameter AB bisects the chord CD at point E. If CE = ED = 8 cm and EB = 4 cm,
find the radius of the circle.
State, if the following statement is true or false:
If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.
A chord is at a distance of 15 cm from the centre of the circle of radius 25 cm. The length of the chord is
A quadrilateral ABCD is inscribed in a circle such that AB is a diameter and ∠ADC = 130º. Find ∠BAC.
In the given figure, O is the centre of the circle. If ∠ AOB = 145°, then find the value of x.
