Mathematics
Chords AD and BC one produce meet at exterior point P. Assertion(A): PD x AD = PC x BC. Reason(R): In triangles PAB and PCD. ∠PAB = ∠PCD ⇒ ΔPAB ∼ ΔPCD 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true and R is correct reason for A. 4. Both A and R are true and R is incorrect reason for A.
Related Questions
For the three circles with centers A, B and C and radii 5 cm, 2 cm and 6 cm respectively.
Assertion (A) : To find the perimeter of the triangle ABC, add the radii of given three circles.
Reason (R) : The required perimeter is the product of sum of radii by 2.
A is true, R is true
A is true, R is false
A is false, R is true
A is false, R is false
AB is diameter of the circle. PA is tangent and ∠AOC = 60°.
Assertion(A): x + 30° = 90°.
Reason(R): PA is tangent
⇒ ∠BAP = 90°
∴ x + 30° = 90°
A is true, R is false.
A is false, R is true.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
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.