Surface Areas and Volumes Important Questions A conical tent is 10 m high and the radius of its base is 24 m. Find the slant height of the tent. If the cost of 1 m2 canvas is ₹ 70, find the cost of canvas required to make the tent. A man uses a piece of […]
Triangles Important Questions Line l is the bisector of an angle ∠A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠ A. Show that: ΔAPB ≅ ΔAQB BP = BQ or B is equidistant from the armsof ∠A. In ΔABC, ∠A – ∠B = 33° […]
Lines and Angles Important Questions The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is: 35o 51o 70o 110o If AB = x + 3, BC = 2x and AC = 4x – 5, then for what value of ‘x’, B lies on AC? 2 3 5 8 In the given Figure , […]
Probability – Important Questions A box contains 90 discs, numbered from 1 to 90. If 1 disc is drawn at random from the box, the probability that it bears a prime number less than 23, is : 7/90 10/90 4/45 9/89 What is the sum of the probabilities of all the elementary events of an […]
Probability – Previous Years Questions If two different dice are rolled together, the probability of getting an even number on both dice is 1/36 1/2 1/6 1/4 [CBSE 2014] [1 Mark] A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is 2/3 1/6 1/3 […]
Constructions – Previous Years Questions Draw a circle of radius 5 cm. Construct a pair of tangents to it so that they are inclined at 60°. Measure the lengths of the two tangents. [CBSE 2017] [3 Marks] Construct a triangle with sides 5 cm, 6 cm and 7 cm. Now construct another triangle whose sides […]
Circles – Previous Years Questions In the given figure PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ∠CAB = 30°. Find ∠PCA. [CBSE 2016] [1 Mark] Two concentric circles of radii a and b (a > b) are given. Find the length of […]
Some Applications of Trigonometry – Previous Years Questions A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder. [CBSE 2016] [1 Mark] If the shadow of a vertical pole at a particular […]
Arithmetic Progressions Previous Years Questions For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P. ? [CBSE 2016] [1 Mark] In an AP, if the common difference is -4 and the seventh term is 4, then find the first term. [CBSE 2018] […]
Quadratic Equations – Previous Years Questions The quadratic equation x2 – 4x + k = 0 has distinct real roots if k = 4 k > 4 k = 16 k < 4 [CBSE 2020] [1 Mark] Write the discriminant of the quadratic equation (x + 5)2 = 2(5x – 3). [CBSE 2019] [1 Mark] […]