Q1. If the chord of 6 cm in length of a circle makes an angle of 45° with tangent drawn at it’s vertex then what will be the radius of that circle ?
(a) 6√2 cm
(b) 5 cm
(c) 3√2 cm
(d) 6 cm
Q2. The radius of a circle is 13 cm and the distance of its chord XY from centre is 12 cm. Then length of that chord is
(a) 15 cm
(b) 12 cm
(c) 10 cm
(d) 20 cm
Q3. Suppose in ∆ABD , ∠ADB = 20° and C is a point on BD such as AB = AC and CD = CA. Then what will be the measure of ∠ABC ?
Q4. If G is the centroid and AD is a median of a triangle ABC, if AD is 12 cm then AG is?
(a) 10 cm
(b) 6 cm
(c) 4 cm
(d) 8 cm
Q5. ∆ABC is a right angled triangle. AD is a perpendicular to hypotenuse BC. If AC = 2 AB, then value of BD is equal to ?
Q6. In a right angled triangle ABC, AB = 2.5 cm, cos B = 0.5, ∠ACB = 90°. Length of side AC in cm is equals to ?
Q7. Two circles of radii 4 cm and 9 cm respectively touch externally at a point and a common tangent touches them at points P and Q respectively. Then what will be the area of the square with side PQ ?
(a) 97 cm square
(b) 194 cm square
(c) 72 cm square
(d) 144 cm square
Q8. Two tangents are drawn from point P to a circle at points A and B. O is the centre of circle. Then if ∠AOP = 60°, then ∠APB = ?
Q9. AB is the diameter of a circle with centre O. CD is a chord which is equal to radius in length. AC and BD are produced to meet at P. Then ∠APB will be of
Q10. If G be the centroid of ∆ABC and if AG = BC then what will be the measure of ∠BGC ?
(b) √3 r
(c) √3/2 r
(d) √5 r
Q13. Tangents drawn at two points P and Q lying on circumference of a circle cut each other at A , if ∠PAQ = 68°, then ∠APQ is ?
Q14. In ∆ABC internal angle bisector of ∠C cuts AB at point D. In this AB ≠ AC and E is a point on CD such that AE = AD. If ∠ABC = 50° then ∠CAE is equal to ?