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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,

NCERT Class 9 Maths Solutions: Coordinate Geometry Question: How will you describe the position of a table lamp on your study table to another person? Concept in a Minute: To describe the position of an object, we need a reference point and a way to measure distance and direction from that reference point. This is

NCERT Class 9 Maths Solutions: Circles Question: If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords. Concept in a Minute: Congruent Triangles: Triangles are congruent if all three corresponding sides and all three corresponding angles

NCERT Class 10 Science Solutions: The Human Eye and the Colourful World Question: The human eye forms the image of an object at its ______. A. cornea B. iris C. pupil D. retina Concept in a Minute: The human eye functions like a camera. Light enters the eye through the pupil and is focused by