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Question 1
ABDC is a parallelogram in which diagonals AD and BC intersect at O. AE and DF are perpendiculars on BC at E and F, respectively. Which of the following is NOT true?
Question 2
In ∆ABC, ∠B is a right angle, and D is the midpoint of the side AC. If AB = 6 cm, BC = 8cm, then the length of BD is
Question 3
The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?
Question 4
In a parallelogram ABCD side AB = 20 cm, BC = 16 cm, Diagonal BD = 18 cm. Find the length of another diagonal.
Question 5
OABC is a rhombus. The vertices A, B and C lies on the circumference of a circle whose centre is at O. Find the area of the circle if the area of the rhombus is 6√3 cm2.
Question 6
The equation of circle with centre (1, -2) and radius 4 cm is:
Question 7
In the given figure, PQRS is a quadrilateral. If QR = 18 cm and PS = 9 cm, then what is the area (in cm2) of quadrilateral PQRS?
Question 8
In the figure, QRTS is a cyclic quadrilateral. If PT = 5 cm, SQ = 4 cm, PS = 6 cm and ∠PQR = 63°, then what is the value (in cm) of TR?
Question 9
One of the sides of an equilateral triangle lies on the line 6x+8y+7 = 0 and the coordinates of its centroid is (2,2). Find the length of the side.
Question 10
Two circles of radius 7 cm and 5 cm intersect each other at A and B. If the distance between their centres ¡s 10 cm, then find the length of the common chord AB.
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Feb 25SSC & Railway