Advertisements
Advertisements
प्रश्न
In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x + y =
पर्याय
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. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.
ABC is a right triangle, right angled at B. A circle is inscribed in it. The lengths of the two sides containing the right angle are 6 cm and 8 cm. Find the radius of the incircle.
In the fig. ABC is right triangle right angled at B such that BC = 6cm and AB = 8cm. Find the radius of its in circle.
The length of three concesutive sides of a quadrilateral circumscribing a circle are 4 cm, 5 cm, and 7 cm respectively. Determine the length of the fourth side.
In the given figure, O is the centre of the circle and BCD is tangent to it at C. Prove that ∠BAC + ∠ACD = 90°.
Two concentric circles with center O have A, B, C, D as the points of intersection with the lines L shown in the figure. If AD = 12 cm and BC s = 8 cm, find the lengths of AB, CD, AC and BD.
Use the figure given below to fill in the blank:
If PQ is 8 cm long, the length of RS = ________
In the adjoining figure, seg DE is the chord of the circle with center C. seg CF⊥ seg DE and DE = 16 cm, then find the length of DF?
In the following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to ______.
In the given figure, O is the centre of the circle. If ∠AOB = 145°, then find the value of x.
