1. If in the following figure (not to scale), ∠DAB + ∠CBA = 90°, BC = AD, AB = 20 cm, CD = 10 cm
then the area of the quadrilateral ABCD is:
2. A circle touches the side BC of ΔABC at D and AB and AC are produced to E and F, respectively. If AB = 10 cm, AC = 8.6 cm and BC = 6.4 cm, then BE = ?
3. In an isosceles triangle ABC, AB = AC, XY || BC. If ∠A = 30°, the ∠BXY = ?
4. If M is the mid-point of the side BC of ΔABC, and the area of ΔABM is 18 cm2, then the area of ΔABC is:
5. In the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?
6. ABC is an equilateral triangle. Points D, E and F are taken as the mid-point on sides AB, BC, CA respectively, so that AD = BE = CF. Then AE, BF, CD enclosed a triangle which is:
7. Incentre of ΔABC is I. ∠ABC = 90° and ∠ACB = 70°. Then ∠BIC is
8. In ΔABC, the bisector of ∠A intersect side BC at D. If AB = 12 cm, AC = 15 cm and BC = 18 cm, then the length of BD is:
9. ABC is a triangle and the sides AB, BC and CA are produced to E, F and G respectively. If ∠CBE = ∠ACF = 130°, then the value of ∠GAB is:
10. A triangle ABC is inscribed in a circle with centre O. AO is produced to meet the circle at K and AD ⊥ BC. If ∠B = 80° and ∠C = 64°, then the measure of ∠DAK is:
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