Advertisements
Advertisements
प्रश्न
In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x + y =
विकल्प
45°
60°
75°
90°

Advertisements
उत्तर
90°
We are given the following figure

∠ACD = ∠ABD (Angle in the same segment are equal)
⇒ ∠ACD = y
Consider the ΔACM in which
`angleACM + x + 90° = 180°`
` y + x + 90° = 180°`
`x + y = 90°`
APPEARS IN
संबंधित प्रश्न
In Fig., if AB = AC, prove that BE = EC

In Fig. 1, the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and AC = 11 cm, then the length of BC (in cm) is ?

On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).
In the given figure, O is the centre of the circle. If ∠CEA = 30°, Find the values of x, y and z.

Use the figure given below to fill in the blank:
EF is a ______ of the circle.

Find the radius of the circle
Diameter = 24 cm
A point A is 26 cm away from the centre of a circle and the length of the tangent drawn from A to the circle is 24 cm. Find the radius of the circle.

If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = `asqrt(3)`
In the following figure, O is the centre of the circle. Name all chords of the circle.

Is every diameter of a circle also a chord?
