Download App

Maths M.C.Q

Algebraic Identities [NEW] · Gujarat Board (GSEB) STD 9 (GSEB - English Medium). 54 questions.

Questions · Page 2 of 2

M.C.Q

MCQ 511 Mark
$\frac{\left(a^2-b^2\right)^3+\left(b^2-c^2\right)^3+\left(c^2-a^2\right)^3}{(a-b)^3+(b-c)^3+(c-a)^3}=$
  • A
    $3(a+b)(b+c)(c+a)$
  • B
    $3(a-b)(b-c)(c-a)$
  • C
    $(a-b)(b-c)(c-a)$
  • ✓
    $(a+b)(b+c)(c+a)$
Answer
Correct option: D.
$(a+b)(b+c)(c+a)$
d
View full question & answer→
MCQ 521 Mark
$\frac{(a-b)^3-(a+b)^3}{2}+a\left(a^2+3 b^2\right)=$
  • A
    $a^3-b^3$
  • B
    $(a+b)^3$
  • C
    $a^3+b^3$
  • ✓
    $(a-b)^3$
Answer
Correct option: D.
$(a-b)^3$
(d)
$\frac{(a-b)^3-(a+b)^3}{2}+a\left(a^2+3 b^2\right)$
$=\frac{\left(a^3-b^3-3 a^2 b+3 a b^2\right)-\left(a^3+b^3+3 a^2 b+3 a b^2\right)}{2}+a^3+3 a b^2$
$=-b^3-3 a^2 b+a^3+3 a b^2=(a-b)^3$
View full question & answer→
MCQ 531 Mark
$(a-b)^3+(b-c)^3+(c-a)^3=$
  • A
    $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$
  • B
    $(a-b)(b-c)(c-a)$
  • ✓
    $3(a-b)(b-c)(c-a)$
  • D
    none of these
Answer
Correct option: C.
$3(a-b)(b-c)(c-a)$
c
View full question & answer→
MCQ 541 Mark
$75 \times 75+2 \times 75 \times 25+25 \times 25$ is equal to
  • ✓
    10000
  • B
    6250
  • C
    7500
  • D
    3750
Answer
Correct option: A.
10000
a
View full question & answer→
Generate Paper FreeAll Algebraic Identities [NEW] topics
M.C.Q - Page 2 - Maths STD 9 Questions - Vidyadip