Choose the CORRECT option about the two tangents drawn to the circle from the external point (1) The tangents subtend equal angles at the centre of the circle. (2) The tangents drawn from the external point to a circle are equal in length. (3) The tangents are equally inclined to the segment which joins the centre to that point.?

1 and 2 only
2 and 3 only
1, 2 and 3
1 and 3 only

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : 1, 2 and 3

As, the two triangles formed by tangents, radius and the line joining the external point to the centre are congruent by SAS rule as,

1. Radius is equal

2. 90° angle as tangent is perpendicular to radius at the point of contact

3. Length of two tangents drawn from an external point to a circle are equal and hence statement 2 is true

So, by CPCT statement 1 and 3 are also true

4 views Answered 2022-09-04 04:29

Related Questions

Two tangents EA and EB are drawn on a circle from a point E which is outside the circle of center O. If ∠AEB = 80°, find the value of ∠AOB.?

1 Answers 4 Views

A tangent is drawn from a point p outside the circle, which touches the circle at point A and B, another tangent is drawn from a point E on the circumference on the circle, which touches the line PA and PB at C and D, if PC measures 8 cm, PD measures 9 cm and CD measures 7 cm, then find the radius of circle.?

1 Answers 5 Views

ST is the diameter of a circle with centre O. Two tangents AB and CD are drawn at to the circle which touches the circle at point S and T respectively. If one more tangent EF is drawn to the circle which cuts tangents AB and CD at point P & Q respectively, then find the value of ∠POQ.?

1 Answers 4 Views

A = Area of the largest circle drawn inside a square of side 1 cm. B = Sum of areas of 4 identical (largest possible) circles drawn inside a square of side 1 cm. C = Sum of areas of 9 identical circle (largest possible) drawn inside a square of side 1 cm. D = Sum of area of 16 identical circles (largest possible) drawn inside a square of side 1 cm. Which of the following is TRUE about A, B, C and D?

1 Answers 5 Views

Two concentric circles with centre O has a common chord AB of length 18 cm which intersects the smaller circle at points C and D. Radius of smaller circle is 6 cm and BP is the tangent to the smaller circle of length 8 cm. Find the length of the chord CD to the smaller circle.?

1 Answers 4 Views

Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?

1 Answers 6 Views

Consider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statement(s) is/are correct (1) If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y (2) ∠POC + ∠QCO = 90° Select the correct answer using the code given below.?

1 Answers 6 Views

Segment CD is shorter than Segment MN, Segment MN is shorter than Segment TR, Segment AB is shorter than Segment CD and Segment MN is shorter than Segment PQ. Which segment is the shortest?

1 Answers 7 Views

Given that the angles of a polygon are all equal and each angle is a right angle. Statement 1: The quadrilateral has exactly four sides Statement 2: The sum of the angles of a polygon having n sides is (3n - 8) right angles. Which one of the following is correct in respect of the above statements?

1 Answers 6 Views

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends in the major segment of the circle is equal to:?

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)