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# Geometry Mix || 29.04.2021

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Question 1

If a regular polygon has 10 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees?

Question 2

In the given figure, BC is a chord and CD is tangent through the point C. If AOC = 118° then find the ACD? Question 3

A triangle PQR is right angled at Q. E and F are mid points of QR and PR, respectively. What will be the ratio of the area of the quadrilateral PQEF to the area of triangle PQR.

Question 4

A, B and C are three points on the circle. If AB = AC = 7√2 cm and BAC = 90º, then the radius is equal to:

Question 5

ABC is an equilateral triangle P, Q and R are the midpoints of sides AB, BC and CA, respectively. If the length of the side of the triangle ABC is 8 cm, then area of ΔPQR is:

Question 6

If the three sides of a triangle are 11 cm, 12 cm and 13 cm, then what is the area of the given triangle (in cm2)?

Question 7

A circle is centred at O. Two tangents AP and AQ are drawn from an external point A, if POQ=118°, then PAQ is equal to:

Question 8

In a quadrilateral ABCD, the bisectors of C and D meet at E. If CED = 56° and A = 49°, then the measure of B is :

Question 9

In ΔABC, E and D are points on sides AB and AC, respectively, such that ABC = ADE. If AE = 6 cm, AD = 4 cm and EB = 4 cm, then the length of DC is:

Question 10

The middle points of the parallel sides AB and CD of a parallelogam ABCD are P and Q, respectively. If AQ and CP divide the diagonal BD into three parts BX, XY and YD, then which one of the following is correct?

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