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DSSSB TGT geometry_trigonometry_mensuration — practice questions

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In a right triangle, if one leg is 9 cm and hypotenuse is 15 cm, the other leg isIn an equilateral triangle of side 6 cm, the area isThe angles of a triangle are in the ratio 2 : 3 : 4. The largest angle isTwo similar triangles have their sides in the ratio 3 : 5. The ratio of their areas isIn triangle ABC, AB = AC and angle A = 40 degrees. Then angle B isThe circumference of a circle with diameter 14 cm is (use pi = 22/7)If two chords AB and CD of a circle intersect at P inside the circle, with PA = 4, PB = 9, PC = 6, then PD isThe radius of a circle whose area is 154 cm^2 is (use pi = 22/7)The angle subtended by a diameter at any point on the circle isSum of all interior angles of a regular hexagon isEach interior angle of a regular octagon isThe number of sides of a regular polygon whose each exterior angle is 30 degrees isThe volume of a cube of side 5 cm isThe total surface area of a cube of side 6 cm isThe volume of a sphere of radius 7 cm is (use pi = 22/7)The slant height of a cone with radius 6 cm and height 8 cm isThe lateral (curved) surface area of a cone with radius 5 cm and slant height 13 cm isThe value of cos 0 degrees + sin 90 degrees isThe value of sin^2(30) + cos^2(30) isIf sin(theta) = 3/5, then cos(theta) is (theta acute)The value of sin(60) x cos(30) isIf tan(theta) = sqrt(3), then theta isIf sec(theta) = 5/4, then tan(theta) isFrom a point 30 m away from the foot of a tower, the angle of elevation of the top is 45 degrees. The height oA pole is broken at a height. The broken part touches ground 10 m from the foot at an angle of 30 degrees withIf sin(theta) + cos(theta) = sqrt(2), then sin(theta) isThe distance between points (3, 4) and (0, 0) isIf sin(theta) + cos(theta) = sqrt(2) and theta is acute, then theta isThe midpoint of segment joining (2, 3) and (6, 7) isThe line 2x + 3y = 12 has y-intercept