Q201
Open questionABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 and BC = 24 cm then radius of circle is
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Q202
Open questionThe distance between the centres, of two equal circles each of radius 4 cm is 17 cm. The length of a transverse tangent is:
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Q203
Open questionIn the given figure, AD is bisector of angle ∠CAB and BD is bisector of angle ∠CBF. If the angle at C is 34°, the angle ∠ADB is:
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Q204
Open questionA cyclic quadrilateral ABCD is such that AB = BC, AD = DC and AC and BD intersect at O. If ∠CAD = 46°, then measure of ∠AOB is equal to:
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Q205
Open questionIf the given figure, E and F are the centers of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC?
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Q206
Open questionIn ΔABC, ∠A = 52° and O is the orthocentre of the triangle (BO and CO meet AC and AB at E and F respectively when produced). If the bisectors of ∠OBC and ∠OCB meet at P, then the measure of ∠BPC is:
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Q207
Open questionAC is a transverse common tangent to two circle with centres P and Q and radii 6 cm and 3 cm at the point A and C respectively. If AC cuts PQ at the point B and AB = 8 cm, then the length of PQ is:
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Q208
Open questionThe area of the largest triangle that can be inscribed in a semicircle of radius 4 cm in square centimetres is
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Q209
Open questionXYZ is a triangle. If the medians ZL and YM intersect each other at G, then (Area of ΔGLM : Area of ΔXYZ) is:
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Q210
Open questionIn a circle of radius 3 cm, two chords of length 2 cm and 3 cm lie on the same side of a diameter. What is the perpendicular distance between the two chords?
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Q211
Open questionNumber of circles that can be drawn through three non-collinear points are
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Q212
Open questionThe diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is?
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Q213
Open questionThe exterior angle of a triangle is 115° and the corresponding interior opposite angles are in the ratio 2 : 3. The measure of greatest angle of the triangle is:
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Q214
Open questionFor an equilateral triangle, the ratio of the in-radius and the outer-radius is
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Q215
Open questionIf in the following figure (not to the scale), ∠ACB = 135° and the radius of the circle is 2√2 cm, then the length of the chord AB is
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Q216
Open questionA chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
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Q217
Open questionAB is a common tangent to both the circles in the given figure. Find the distance (correct to two decimal places) between the centres of the two circles.
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Q218
Open questionIf two circles do not touch or intersect each other and one does not lie inside the other, then find the number of common tangents.
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Q219
Open questionIf and are the lengths of the sides of a right angled triangle whose hypotenuse is 10 and whose area is 20, then the value of ( + )2 is
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Q220
Open questionIn the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?
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