Category: Mathematics

Distributive Property – D – Breathmath’s Math Glossary
Distributive Property The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

Circles Exercise 10.5 – Class 10
Circles Exercise 10.5 – Questions: Draw a circle of radius 6 cm and construct tangents to it from an external point 10 cm away from the centre. Measure and verify the length of the tangents. Construct a pair of tangents to a circle of radius 3.5 cm from a point 3.5 cm away from the […]

Circles Exercise 10.4 – Chapter Circles – Class 10
1.In the figure PQ, PR and BC are the tangents to the circle BC touches the circles at X. If PQ = 7cm find the perimeter of ∆PBC Solution: The perimeter of ∆PBC = PC + PB + BC = PC + PB + BX + CX But Cx = CR and BX = BQ […]

Circles Exercise 10.2 Solutions – Chapter Circles – Class 10
Property related to the chords of a circle – Circle Equal chords of a circle are equidistant from the centre If the chords of a circle are at equal distance from the centre, then they are equal in length If the length of the chord increases, its perpendicular distance from the centre decreases. If the […]

Circles Exercise 10.1 – Class 10
Construction of a chord of given length – Circles Exercise 10.1 Circles Exercise 10.1 – Questions: Draw a circle of radius 3.5 cm and construct a chord of length 6 cm in it. Measure the distance between the centre and the chord. Construct two chords of length 6 cm and 8 cm on the same […]

Quadratic Equations Exercise 9.11 – Class X
Quadratic Equations Exercise 9.11 – Questions Find two consecutive positive odd numbers such that the sum of their squares is equal to 130. Find the whole number such that four times the number subtracted from three times the square of the number makes 15. The sum of two natural numbers is 8. Determine the numbers, […]

Quadratic Equations Exercise 9.10 – Class X
I.Solve the following equations graphically. (i) x2 – 4x = 0 (ii) x2 + x – 12 = 0 (iii) x2 – x – 2 = 0 (iv) x2 – 5x + 6 = 0 II. Draw the graph of y = x2 and find the value of √3 Draw the graph of y = […]

Quadratic Equation Exercise 9.8 – Class X
Quadratic Equations – Exercise 9.8 – Questions: Form the quadratic equation whose roots are i) 3, 5 ii) 6, 5 iii) 3, 3/2 iv) 2/3 , 3/2 v) (2 + √3), (2 – √3) vi) (3 + 2√5)(3 – 2√5) B. If m and n are the roots of the equation x2 – 6x + […]

Quadratic Equations – Exercise 9.7 – Class X
Find the sum and product of the roots of the quadratic equation: x2 – 5x + 8 = 0 3a2 – 10a – 5 = 0 8m2 – m = 2 6k2 – 3 = 0 pr2 = r – 5 x2 + (ab)x + (a + b) = 0 Quadratic Equation – Exercise 9.7 […]