Q101
Open questionIf 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:
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Geometry
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Q102
Open questionA 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 = ?
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Q103
Open questionIn an isosceles triangle ABC, AB = AC, XY || BC. If ∠A = 30°, the ∠BXY = ?
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Q104
Open questionIf 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:
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Q105
Open questionIn the given figure, PQ = PS = SR and ∠QPS = 40°, then what is the value of ∠QPR (in degrees)?
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Q106
Open questionABC 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:
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Q107
Open questionIncentre of ΔABC is I. ∠ABC = 90° and ∠ACB = 70°. Then ∠BIC is
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Q108
Open questionIn 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:
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Q109
Open questionABC 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:
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Q110
Open questionA 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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Q111
Open questionIn ΔABD, C is the midpoint of BD. If AB = 10 cm, AD = 12 cm and AC = 9 cm, then BD = ?
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Q112
Open questionIn ΔABC, the perpendiculars drawn from A, B and C meet the opposite sides at points D, E and F respectively. AD, BE and CF intersect at point P. If ∠EPD = 110° and the bisectors of ∠A and ∠B meet at point Q, then ∠AQB = ?
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Q113
Open questionThe tangent at a point A of a circle with centre O intersects the diameter PQ of the circle (when extended) at the point B. If ∠BAP = 125°, then ∠AQP is equal to:
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Q114
Open questionTwo circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA = 16 cm, then what is the value (in cm) of YZ?
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Q115
Open questionABCD is a cyclic quadrilateral. Side AB and DC, when produced, meet at E and sides AD and BC when produced, meet at F. If ∠ADC = 76° and ∠AED = 55°, then ∠AFB is equal to:
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Q116
Open questionΔABC, AB = 20 cm, BC = 7 cm and CA = 15 cm. Side BC is produced to D such that ΔDAB ∽ ΔDCA. DC is qual to:
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Q117
Open questionIf the angle between two radii of a circle be 130°, then the angle between the tangents at the end of these radii (in degrees) is:
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Q118
Open questionPQR is a triangle such that PQ = PR. RS and QT are the median to the sides PQ and PR respectively. If the medians RS and QT intersect at right angle, then what is the value of
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Q119
Open questionΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is
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Q120
Open questionABC and BDE are two equilateral triangles such that D is the mid-point of BC. If the area of triangle ABC is 136 cm2, then the area of triangle BDE is equal to:
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