O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=600 and ∠QCR = 130°, then ∠RPS = ?
(A) 30°
(B) 35°
(C) 100°
(D) 60°
The x - intercept on the graph of 7x - 3y = 2 is :
(A)
(B)
(C)
(D)
In the figure below, AB is a chord of a circle with centre O. A tangent AT is drawn at point A so that ∠BAT=50°.Then ∠ADB=?
(A) 120°
(B) 130°
(C) 140°
(D) 150°
In the adjoining figure ∠AOC=140° where O is the centre of the circle then ∠ ABC is equal to:
(A) 90°
(B) 110°
(C) 100°
(D) 40°
if θ is acute angle and sin (θ+180) = 1/2, then the value of θ in circular measure is :
(A) π/12 Radius
(B) π/15 Radius
(C) 2π/5 Radius
(D) 3π/13
In the given figure, AB, AE, EF, FG and GB are semicircles. AB=56 cm and AE=EF=FG=GB. What is the area (in cm2) of the shaded region?
(A) 414.46
(B) 382.82
(C) 406.48
(D) 394.24
The ratio between the three angles of a quadrilateral is 1:6:2 respectively. The value of the fourth angle of the quadrilateral is 45°.What is the difference between the value of the largest and smallest angles of the quadrilateral?
(A) 165°
(B) 140°
(C) 175°
(D) 150°
(E) None of these
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