Areas of Parallelograms and Triangles Important Questions If AD is one of the medians of a triangle and P is a point on AD. Prove that ar(∆BDP) = ar(∆CDP) ar(∆ABP) = ar(∆ACP) In the adjoining figure, D is the mid-point of side AB of ∆ABC and P is any point on BC. If CQ||PD meets […]
Quadrilaterals Important Questions Show that each angle of a rectangle is a right angle. Find all the angles of a parallelogram if one angle is 60°. Two parallel lines l and m are intersected by a transversal p (See in fig.). Show that the quadrilateral formed by the bisectors of interior angles is a rectangle. […]
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 , […]
Introduction To Euclid’s Geometry – Important Questions The number of dimension that a point has is: 0 1 2 3 What are the five postulates of Euclid’s Geometry? Consider two ‘postulates’ given below: Given any two distinct points A and B, there exists a third point C which is in between A and B. There […]
Linear Equations In Two variables – Important Questions On the graph paper draw the straight line 3x – 2y = 4 and x + y – 3 = 0. Also, find their point of intersection on the graph. Find the value of k, if x = 2, y = 1 is a solution of the […]
Coordinate Geometry – Important Questions On which axes do the given points lie: (7, 0) (0, -3) (0, 6) (-3, -6) . .Name the horizontal and vertical lines of Cartesian plane. In which quadrant or on which axis do each of the points (-2, 4), (3, -1), (-1, 0), (1, 2), (0, 2) and (-3, […]
Class 9 Polynomials Important Questions Using suitable identity determine the value of :- (17)3 + (-12)3 + (-5)3 64m3 – 343n3 Factorise :- 2y3 – 4y2 – 2y + 4 2×2 + 7x + 3 Factorise : (a-b)3 + (b-c)3 + (c-a)3 If (a + b + c) = 15 and a2 + b2 + […]
Number Systems Important Questions Find three rational number between and . Represent √ 6.4 on the number line. If x = and y = , find the value of x2 + y2 + xy. Express 6.234 in the form of p/q. If x = , find the value of . Find the smallest of the numbers , […]