All Exams Test series for 1 year @ ₹349 only
Question

An equilateral triangle ABC and a scalene triangle DBC are inscribed in a circle on same side of the arc. what is ∠BDC equal to?

This question was previously asked in
CDS II 2021 General Knowledge Previous Year Paper (14-Nov-2021)
The correct answer is

60°

The sum of opposite angles in a cyclic quadrilateral is 180^\circ . Angles in a semicircle are always 90^\circ . This is a special case of the angle subtended by an arc property, where the arc is a semicircle (180 degrees at the center). Hence, the correct answer is 60°.

Was this answer helpful?

Similar Questions

  1. What is the length of QC ?

  2. What is the relation between x and y ?

  3. If y = 15, then what is ∠ACB equal to ?

  4. If r is the radius of S and R is the radius of S2, then which one of the following is correct?

  5. If m is the area of the circle S and n is the area of semi-circle S1, then which one of the following is correct?

  6. A circle is inscribed in a triangle ABC. It touches the sides AB and AC at M and N respectively. If O is the centre of the circle and ∠A = 70°, then what is ∠MON equal to?

  7. If ∠ABD = θ, then what is sin θ equal to ?  

  8. What is the radius of the circle ?

  9. What is the radius of the circle ?

  10. What is the area of the minor segment ?


Important Questions from Circles, Chords and Tangents

  1. A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:

  2. AB is a chord of a circle with centre O and P is any point on the circle. If ∠APB = 112°, then what is the measure of ∠OAB ?

  3. In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:

  4. The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?

  5. In a circle with centre O, an arc ABC subtends an angle of 132° at the center of the circle. Chord AB is produced to point P. Then ∠CBP is equal to∶

Need Expert Advice?
Test Series
CDS img
Defence
UPSC CDS 2026 Mock Test Series
536 Tests 4 Tests Free
1671 Attempts
4.3(174)
English, Hindi
More Questions from CDS

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App