Physics Part-II - NCERT Solutions - GeniusJnr

Draw a rough sketch of a quadrilateral KLMN. State,

(a) Two pairs of opposite sides,

(b) Two pairs of opposite angles,

(c) Two pairs of adjacent sides,

(d) Two pairs of adjacent angles.

Find the value of:

(i) 2⁶ (ii) 9³

(iii) 11² (iv)5⁴

Use suitable identities to find the following products:

(i) (ii)

(iii) (iv)

(v)

Express the following in exponential form:

(i) 6 × 6 × 6 × 6 (ii) t × t

(iii) b × b × b × b (iv) 5 × 5 × 7 ×7 × 7

(v) 2 × 2 × a × a (vi) a × a × a × c × c × c × c × d

Evaluate the following products without multiplying directly:

(i) 103 × 107 (ii) 95 × 96 (iii) 104 × 96

Express the following numbers using exponential notation:

(i) 512 (ii) 343

(iii) 729 (iv) 3125

Factorise the following using appropriate identities:

(i) 9x² + 6xy + y²

(ii)

(iii)

Identify the greater number, wherever possible, in each of the following?

(i) 4³ or 3⁴ (ii) 5³ or 3⁵

(iii) 2⁸ or 8² (iv) 100² or 2¹⁰⁰

(v) 2¹⁰ or 10²

From the figure, identify:

(a) The centre of circle (e) Two points in the interior

(b) Three radii (f) a point in the exterior

(c) a diameter (g) a sector

(d) a chord (h) a segment

(a) Is every diameter of a circle also a chord?

(b) Is every chord of circle also a diameter?

Expand each of the following, using suitable identities:

(i) (ii)

(iii) (iv)

(v) (vi)

Express each of the following as product of powers of their prime factors:

(i) 648 (ii) 405

(iii) 540 (iv) 3,600