Advertisements
Advertisements
प्रश्न
In the given figure, O is the centre of the circle and ∠BDC = 42°. The measure of ∠ACB is
विकल्प
42°
48°
58°
52°
Advertisements
उत्तर
48°
Construction: Join A and D.
Since AC is the diameter. So ∠ADC will be 90°.
Therefore,
`angleADB = 90 - angleBDC`
= 90 - 42
`angle ADB = 48°`
∠ACB = ∠ADB = 48° (Angle in the same segment are equal.)
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.
In Fig. 1, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT = 3.8 cm, then the length of QR (in cm) is :
(A) 3.8
(B) 7.6
(C) 5.7
(D) 1.9
Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that ∠PTQ = 2∠OPQ.
Write True or False. Give reasons for your answers.
If a circle is divided into three equal arcs, each is a major arc.
In the given figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30°, prove that BA:AT = 2:1.
Use the figure given below to fill in the blank:
Diameter = 2 x ________
A part of circumference of a circle is called as _______
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.
In the following figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to ______.
AB is a chord of a circle with centre O. AOC is diameter of circle, AT is a tangent at A.
Write answers of the following questions:
- Draw the figure using the given information.
- Find the measures of ∠CAT and ∠ABC with reasons.
- Whether ∠CAT and ∠ABC are congruent? Justify your answer.
