Mathematics
Prove that, of any two chords of a circle, the greater chord is nearer to the centre.
Related Questions
Two circles touch each other externally at point P. OA and OB are the tangent of the two circles (as shown) and OA = 10 cm.
Statement (1): OB = 10 cm.
Statement (2): On joining O and P, tangent OP = tangent OA and tangent OP = tangent OB
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
O is centre of the circle, PB and PC are tangents and ∠BPC = 50°.
Statement (1): ∠BAC = ∠P = 50°
Statement (2): ∠BOC + 50° = 180°
⇒ ∠BOC = 130°
∴ ∠BAC = 65°
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
ABCD is a cyclic quadrilateral in which BC is parallel to AD, angle ADC = 110° and angle BAC = 50°. Find angle DAC and angle DCA.
In the given figure, C and D are points on the semi-circle described on AB as diameter.
Given angle BAD = 70° and angle DBC = 30°, calculate angle BDC.
