An exterior angle of a triangle is 80°and two interior opposite angles are equal. Measure of each of these angles is :
An exterior angle of a triangle is 800 and the interior opposite angles are in the ratio 1 : 3. Measure of each interior opposite angle is :
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In the given figure if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm, is:
Two parallelogram stand on equal bases and between the same parallels. The ratio of their areas is
In quadrilateral ABCD, if ∠A = 60∘ and ∠B : ∠C : ∠D = 2:3:7, then ∠D is :
D and E are the mid-points of the sides AB and AC res. Of △ABC. DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is:
The volume (in cm3) of a right circular cone of height 12 cm and base radius 6 cm, is :
Class size for the following distribution: 0 – 0.25, 0.25 – 0.50, 0.50 – 0.75 is
The number of line segments determined by three collinear points is:
In the given figure, O is the centre of the circle. ∠OAB and ∠OCB are 40o and 30o respectively. Then, the measure of ∠AOC is
In the given, AB is side of regular five sided polygon and AC is a side of a regular six sided polygon inscribed in the circle with centre O. AO and CB intersect at P, then ∠APB is equal to
In the figure, quadrilateral PQRS is cyclic. If ∠P = 80°, then ∠R =
In the adjoining figure, AB = AC and AD⊥BC. The rule by which △ABD ≅ △ACD is
In the adjoining Figure, AB = AC and BD = CD. The ratio ∠ABD : ∠ACD is
A, B, C and D are four points on a circle. AC and BD intersect at E such that angle BEC =140° and angle ECD = 25°, then angle BAC is
In the following data, the number of class intervals, (by inclusive method), and taking 4 as the magnitude of class intervals will be
31, 23, 19, 29, 22, 20, 16, 10, 13, 34
38, 33, 28, 21, 15, 18, 36, 24, 18, 15
12, 30, 27, 23, 20, 17, 14, 32, 26, 25
18, 29, 24, 19, 16, 11, 22, 15, 17, 10
P is a point on the diameter AB of a circle and CD is a chord perpendicular to AB. If AP = 4 cm and PB = 16 cm, the length of chord CD is
If the bisector of the angle A of a △ABC is perpendicular to the base BC of the triangle then the triangle ABC is :