NCERT Exemplar Problems Class 9 Maths – Heron’s Formula Question 1: An isosceles right triangle has area 8 cm2. The length of its hypotenuse is (a) √32 cm (b) √16 cm (c) √48 cm (d) √24 Solution: (a) Given, area of an isosceles right triangle = 8 cm2 Area of an isosceles triangle = ½…
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NCERT Exemplar Problems Class 9 Maths – Constructions Question 1: With the help of a ruler and a compass it is not possible to construct an angle of (a) 37.5° (b) 40° (c) 22.5° (d) 67.5° Solution: (b) With the help of a ruler and a compass, we can construct the angels, 90°, 60°, 45°,…
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NCERT Exemplar Problems Class 9 Maths – Circles Question 1: AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is (a) 17 cm (b) 15 cm (c) 4 cm (d) 8 cm Solution:…
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NCERT Exemplar Problems Class 9 Maths – Areas of Parallelograms and Triangles Question 1: The median of a triangle divides it into two (a) triangles of equal area (b) congruent triangles (c) right angled triangles (d) isosceles triangles Solution: (a) We know that, a median of a triangle is a line segment joining a vertex…
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NCERT Exemplar Problems Class 9 Maths – Quadrilaterals Question 1: Three angles of a quadrilateral are 75°, 90° and 75°, then the fourth angle is (a) 90° (b) 95° (c) 105° (d) 120° Solution: (d) Given, ∠A = 75°, ∠B = 90° and ∠C = 75° We know that, sum of all the1 angles of…
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NCERT Exemplar Problems Class 9 Maths – Triangles Question 1: Which of the following is not a criterion for congruence of triangles? (a) SAS (b) ASA (c) SSA (d) SSS Thinking Process For triangle to be congruent it is very important that the equal angles are included between the pairs of equal sides. So, SAS…
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NCERT Exemplar Problems Class 9 Maths – Lines and Angles Question 1: In figure, if AB || CD || EE, PQ || RS, ∠RQD = 25° and ∠CQP = 60°, then ∠QRS is equal to (a) 85° (b)135° (c)145° (d) 110° Solution: (c) Given, PQ || RS ∠PQC = ∠BRS = 60° [alternate exterior angles…
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NCERT Exemplar Problems Class 9 Maths – Introduction to Euclid’s Geometry Question 1: The three steps from solids to points are (a) solids-surfaces-lines-points (b) solids-lines-surfaces-points (c) lines-points-surfaces-solids (d) lines-surfaces-points-solids Solution: (a) The three steps from solids to points are solids-surfaces-lines-points. Question 2: The number of dimensions, a solid has (a) 1 (b) 2 (c) 3…
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NCERT Exemplar Problems Class 9 Maths – Linear Equations in Two Variables Question 1: The linear equation 2x – 5y = 7 has (a) a unique solution (b) two solutions (c) infinitely many solutions (d) no solution Solution: (c) In the given equation 2x – 5y = 7, for every value of x, we get…
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NCERT Exemplar Problems Class 9 Maths – Coordinate Geometry Question 1: Point (-3, 5) lies in the (a) first quadrant (b) second quadrant (c) third quadrant (d) fourth quadrant Thinking Process (i) Firstly, check the sign of each coordinate of a point. (ii) If both coordinates x and y has same positive sign i.e., (+,…
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