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# ICSE Class X Board Exam 2021 : Mathematics

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 Siddhant Singh Gurucharan Kaur Public School, Sultanpur VI to X Science (PCM)
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TIME : 45 Min. DPP # 04 M.M. : 31 [SINGLE CORRECT CHOICE TYPE] Q.1 to Q.9 has four choices (A), (B), (C), (D) out of which ONLY ONE is correct [3 9 = 27] 1 1 1 1. If a + b + c = 1, a2 + b2 + c2 = 9 and a3 + b3 + c3 = 1, then the value of + + is. a b c 2 (B) 5 (C) 6 (D) 1 (A) 3 2. (1 + cos cos )2 (cos + cos )2 is equal to(A)sin2 + sin2 (B) sin2 sin2 (C) cos2 + cos2 3. If x sin3 + y cos3 = sin .cos and x sin ycos = 0, then x2 + y2 is equal to (where x, y are non-zero real numbers) (A) 1 (B) 1 (C) 1 (D) 2 4. 1 1 1 = a , x2 + 3 = b , then x3 + 2 is x x x 3 2 (A) a + a 3a 2 b (C) a3 a2 + 3a 6 b If x + (B) a3 a2 3a + 4 b (D) a3 + a2 + 3a 16 b 5. Number of values of 'x' which satisfies the equation (A) 0 (B) 1 (C) 2 6. The real number (A) 1/2 ( 3 75 12 ) (B) 1/3 (C) 1/4 8. The expression 10. 1 xy 6x + 28 3 6x 28 = 2. (D) 3 when expressed in the simplest form is equal to Sum of all value of x satisfying the equation 252x x (A)1 (B) 2 (C) 3 (A) 3 2 7. 9. (D) cos2 cos2 2 +1 (D) 1/5 + 92x x 2 +1 = 34.152x x is (D) 4 2 x 2 y 2 x 2 xy + y 2 x 3 + y3 simplifies to (where ever defined) (x y) 2 x 2 2xy + y 2 (x y) 4 (B) (x y) (C) (2n +1 ) m (22n )2n = 1, then m is equal to (2m+1 ) n 22m (A) 0 (B) 1 x 2 xy + y 2 x 2 + 2xy + y 2 (D) (x + y) If (C) n (D) 2n SUBJECTIVE TYPE [4 1 = 4 ] Let P(x) = ax2 + bx + c. If P(x) is divided by x 2, the remainder is 6, while when P(x) is divided by (x 1)2, the remainder is 2x 1, then the value of P( 1) is equal to Corporate Office : NAIVEDHYAM, Plot No. SP-11, Old INOX, Indra Vihar, Kota (Raj.) 324005 Call : 0744-2799900, Online Partner UNACADEMY 1 1 1

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