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
A circle touches the side BC of a ΔABC at a point P and touches AB and AC when produced at Q and R respectively. As shown in the figure that AQ = `1/2` (Perimeter of ΔABC).
If from any point on the common chord of two intersecting circles, tangents be drawn to circles, prove that they are equal.
Fill in the blank
A continuous piece of a circle is ............... of the circle
In the given figure, if ∠BAC = 60° and ∠BCA = 20°, find ∠ADC.
Use the figure given below to fill in the blank:
Diameter = 2 x ________
In a circle, AB and CD are two parallel chords with centre O and radius 10 cm such that AB = 16 cm and CD = 12 cm determine the distance between the two chords?
The radius of a circle of diameter 24 cm is _______
In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?
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 ______
Find the length of the arc of a circle which subtends an angle of 60° at the centre of the circle of radius 42 cm.
