Q52 of 274 Page 82

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

Assertion (A)

Reason (R)

The value of

is 10800.

If a + b + c = 0, then

The correct answer is: (a)

We have,

(25)³ + (-16)³ + (-9)³

Since, 25 – 16 – 9 = 25 – 25

= 0

∴ 3 (-25) (-16) (-9)

= 75 × 144

= 10800

Hence, both Assertion (A) and Reason (R) are true also Reason (R) is the correct explanation of Assertion (A)

∴ Option A is correct

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

Assertion (A)	Reason (R)
If is divided by (x – a), then the remainder is 5a.	If p(x) is divided by (x – a), then the remainder is p(a).

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.

Assertion (A)	Reason (R)
If (x – 2) is a factor of then	If p(x) is divided by (x – a), then the remainder is p(a).

Match the following columns:

Column I	Column II
(a) If p (x) = x³ – 2x² + 3x + 1 is divided by (x + 1), then remainder = ……	(p)
(b) If (2x – 1) is a factor of q (x) = x³ + 2x² + 3x + k then k = ……	(q) 50
(c) The degree of the constant polynomial (-5) is = ……	(r) – 1
(d) When x⁵¹ + 51 is divided by (x + 1), the remainder is = ……	(s) 0

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

Match the following columns:

Column I	Column II
(a) If p (x) = 81x⁴ + 54x³ - 9x² – 3x + 2 is divided by (3x + 2), then remainder = ……	(p) 1
(b) p (x) = ax³ + 3x² – 3 and q (x) = 2ax³ – 5x + a divided by (x – 4) leave the same remainder. Then, a = …..	(q) -7
(c) If p (x) = 7x² - 4x + c is completely divisible by (x - ), then c = …..	(r) 0
(d) If q (x) = 2x³ + bx² + 11x + b + 3 is divisible by (2x – 1), then b = …..	(s) – 6

The correct answer is:

(a)-……., (b)-……., (c)-……., (d)-…….,

The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.Assertion (A)Reason (R)The value ofis 10800.If a + b + c = 0, then