NCERT Class 9 Maths Solutions: Triangles Question: In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that: OB = OC AO bisects ∠A Concept in a Minute: Properties of isosceles triangles, angle bisectors, congruent triangles (SSS, SAS, ASA criteria), […]

NCERT Class 9 Maths Solutions: Surface Areas and Volumes Question: What length of tarpaulin 3 m wide will be required to make conical tent of height 8 m and base radius 6 m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately 20 cm.

NCERT Class 9 Maths Solutions: Statistics Question: 100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows: Number of letters Number of surnames 1 – 4 6 4 – 6 30 6 – 8

NCERT Class 9 Maths Solutions: Quadrilaterals Question: Show that the diagonals of a square are equal and bisect each other at right angles. Concept in a Minute: Properties of parallelograms (opposite sides equal and parallel, diagonals bisect each other), properties of a rhombus (all sides equal), properties of a rectangle (all angles right angles), Pythagorean

NCERT Class 9 Maths Solutions: Polynomials Question: Factorise: x3 + 13×2 + 32x + 20 Concept in a Minute: Factor Theorem: If p(x) is a polynomial and p(a) = 0, then (x – a) is a factor of p(x).Remainder Theorem: When a polynomial p(x) is divided by (x – a), the remainder is p(a).Polynomial Division

NCERT Class 9 Maths Solutions: Number System Question: State whether the following statement is true or false. Justify your answer. Every irrational number is a real number. A. True B. False Concept in a Minute: The question asks about the relationship between irrational numbers and real numbers. You need to understand the definitions of both

NCERT Class 9 Maths Solutions: Lines and Angles Question: It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP. Concept in a Minute: Adjacent angles on a straight line add up to 180 degrees

NCERT Class 9 Maths Solutions: Linear Equations in Two Variables Question: Which one of the following options is true, and why? y = 3x + 5 has A. a unique solution B. only two solutions C. infinitely many solutions Concept in a Minute: Linear equations in two variables have infinitely many solutions. A linear equation

NCERT Class 9 Maths Solutions: Introduction to Euclids Geometry Question: The following statement is true or false? Give reason for your answer. If two circles are equal, then their radii are equal. A. True B. False Concept in a Minute: Definition of equal circles. Explanation: Two circles are defined as equal if they have the

NCERT Class 9 Maths Solutions: Heron’s Formula Question: An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle. Concept in a Minute: To find the area of a triangle when all side lengths are known, Heron’s formula is used. For an isosceles triangle,