Advertisements
Advertisements
प्रश्न
The value of p for 512 – 492 = 100p is 2.
पर्याय
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
Solving for p,
(51)2 – (49)2 = 100p
⇒ (50 + 1)2 – (50 – 1)2 = 100p ...[∵ 51 = 50 + 1 and 49 = 50 – 1]
⇒ (2500 + 1 + 100) – (2500 + 1 – 100) = 100p ...[∵ (a + b)2 = a2 + b2 + 2ab and (a – b)2 = a2 + b2 – 2ab]
⇒ 2500 + 1 + 100 – 2500 – 1 + 100 = 100p
⇒ 200 = 100p
⇒ 100p = 200
⇒ p = `200/100` = 2
The value of p is 2.
APPEARS IN
संबंधित प्रश्न
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
x4 – y4
Using suitable identities, evaluate the following.
(9.7)2 – (0.3)2
Using suitable identities, evaluate the following.
(132)2 – (68)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/25 - 625`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
8a3 – 2a
Factorise the expression and divide them as directed:
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
Factorise the expression and divide them as directed:
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
Find the value of a, if 9a = 762 – 672
Find the value of `(198 xx 198 - 102 xx 102)/96`
