G is the centroid of a triangle ABC, whose sides AB = 35 cm, BC = 12 cm, and AC = 37 cm. The length of BG is (correct to one decimal place):
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ABCD is a rhombus with ∠ABC = 52°. The measure of ∠ACD is:
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In the given figure, O is the centre of the circle. If ∠BAO = 30° and ∠BCO = 50°, then ∠AOC is equal to:
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ΔLMN, LM = 5√2 cm and ∠LMN = 135°. What is the length (in cm) of MN?
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PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?
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In the given figure, triangle PQR is a right-angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?
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In ΔABC, ∠A - ∠B = 33°, ∠B - ∠C = 18°. What is the sum of the smallest and the largest angles of the triangle?
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In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD ?
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A circle is inscribed in ΔABC, touching AB, BC and AC at the points P, Q and R respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of ΔABC = 32 cm, then PB + AR is equal to:
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In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠QPR = 45°, then what is the value (in degrees) of ∠QOR?
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A cyclic quadrilateral ABCD is drawn in a circle with centre O. A and C are joined to O. If ∠ABC = 2p and ∠ADC = 3p, what is the measure (in degrees) of the ∠AOC reflex?
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ln ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?
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Which of the following is a true statement
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Two circles C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120°, then the value of ∠ABP is equal to
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In a ΔABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠BAC = 75°, what is the measure of ∠PQR (in degrees)?
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In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centers O1 and O2 of the two circles?
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ln ΔABC, ∠A = 66°. AB and AC are produced to points D and E, respectively. If the bisectors of ∠CBD and ∠BCE meet at the point O, then ∠BOC is equal to:
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In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and ∠OBA = 60°. If ∠DOC = 60°, then what is the length of BC?
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ln the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm. then what is the value (in degrees) of ∠COD?
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Q100
Open questionIn a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:
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