21. Two circles intersect each other at the points A and B. A straight line parallel to AB intersects the circles at C, D, E and F. If CD = 4.5 cm, then the measure of EF is?
22. In case of an acute angled triangle, its orthocenter lies
23. AB is a diameter of a circle having centre at O. PQ is a chord which does not intersect AB. Join AP and BQ. If ∠PAB = ∠ABQ, then ABQP is a:
24. In a circle with centre O, BC is a chord. Point D and A are on the circle, on the opposite side of BC, such that ∠DBC = 28° and BD = DC. What is the measure of ∠BOC?
25. Given that ΔDEF ∽ ΔABC, if the area of ΔABC is 9 cm2 and that of ΔDEF = 12 cm2 and BC = 2.1 cm, then the length of EF is:
26. The measure of one of the exterior angles of a triangle is twice one of the interior opposite angles and the measure of the other interior opposite angles is 60°. The triangle is a/an:
27. In ΔXYZ, L and M are the mid points of the sides XY and XZ, respectively. R is a point on the segment LM, such that LR : RM = 1 : 2. If LR = 3 cm, then YZ is equal to:
28. In ΔABC, D and E are the mid points of sides BC and AC, respectively. If AD = 10.8 cm, BE = 14.4 cm and AD and BE intersect at G at a right angle, then the area (in cm2) of ΔABC is:
29. A triangle has sides 25, 39, 34 units. If the area of a square exceeds the area of this triangle by 21 units, then the side of the square is:
30. Two circles touch externally at P. QR is a common tangent of the circles touching the circles at Q and R. Then measure of ∠QPR is
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