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
Evaluate the following, using suitable identity
990 × 1010
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Simplify (5x – 3y)2 – (5x + 3y)2
a2 – b2 = (a + b) ______.
Multiply the following:
(a2 – b2), (a2 + b2)
Using suitable identities, evaluate the following.
(132)2 – (68)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – 1
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
a4 – (a – b)4
Factorise the expression and divide them as directed:
(x3 + x2 – 132x) ÷ x(x – 11)
Find the value of a, if pq2a = (4pq + 3q)2 – (4pq – 3q)2
