Q 1: Solve, (x^{2}  x)^{2}  8(x^{2}  x) + 12 = 0. 1, 2, 2 and 3 1, 2, 2 and 3 1, 2, 2 and 3

Q 2: Find the square root of x^{4} + 6x^{3} + 13x^{2} + 12x + 4. x^{2} + 3x  2 x^{2}  3x  2 x^{2}  3x + 2 x^{2} + 3x + 2

Q 3: Expand, å a^{2}b. (Variables a, b, c and d) a^{2}b + d^{2}a a^{2}b +b^{2}c + c^{2}d b^{2}c + c^{2}d + d^{2}a a^{2}b +b^{2}c + c^{2}d + d^{2}a

Q 4: The difference of two symmetric expression is a ___________. not a symmetric expression symmetric expression

Q 5: 5x^{2} + 7y^{2} + 5z^{2}, is this a homogeneous equation? false true

Q 6: Find the square root of 16x^{4}  24x^{3}  23x^{2} + 24x + 16. 4x^{2} + 3x + 4 4x^{2} + 3x  4 4x^{2}  3x + 4 4x^{2}  3x  4

Q 7: If one root of x^{2}  (5+a)x + 24 = 0 is 3 find the value of a. 4 5 2 6

Q 8: Find the square root of
(x^{2} + x  30)(x^{2} + 8x + 12)(x^{2}  3x  10). (x  5)(x  2)(x + 6) (x  5)(x + 2)(x + 6) (x + 5)(x + 2)(x + 6) (x  5)(x + 2)(x  6)

Q 9: Solve, x^{2}  4x  21 = 0. 3 and 7 3 and 7 3 and 7 3 and 7

Q 10: Find the square root of x^{2} + 4y^{2} + 9z^{2} + 4xy + 6xz + 12yz. x + 2y + 3z None of these x +2y  3z x  2y + 3z

Q 11: 3x^{4}  5x^{3} + 3x^{2}  4x^{2} + 5 = 0, is this reciprocal requation or not. No Yes

Q 12: Solve, 6x^{2} + 13x + 5 = 0. 5/3 and 1/2 5/3 and 1/2 5/3 and 1/2 5/3 and 1/2

Q 13: 5x^{4} + 6x^{3}y + 3x^{2}y^{2}, is this homogeneous equation? true false

Q 14: Find the product of the roots of 2x^{2} + 7x + 6 = 0. 3 3 2/5

Q 15: 2x^{4}  3x^{3} + 5x^{2}  3x + 2 = 0, is this reciprocal requation or not. Yes No

Q 16: Find the square root of
(x^{2}  2x  15)(x^{2}  5x  24)(x^{2}  13x + 40). (x  8)(x  5)(x + 3) (x  8)(x + 5)(x + 3) (x + 8)(x  5)(x + 3) (x  8)(x  5)(x  3)

Q 17: Find the square root of 961x^{2}y^{4}. None of these 31xy^{2} 31xy^{4} 31x^{2}y

Q 18: Solve, 3x^{2}  4x  6 = 0. 2/3 and 3 2/3 and 3 2/3 and 3 2/3 and 3

Q 19: Find the square root of 16x^{2} + 24xy + 9y^{2}. 4x  3y 4x + 3y 3x + 4y None of these

Q 20: Solve, 6x^{4}  35x^{3} + 62x^{2}  35x + 6 = 0 None of these 3,1/2 and 1/3 2,1/2 and 1/3 2,3,1/2 and 1/3

Q 21: 3x^{3} + 4y^{3} + 5z^{3}. is this a homogeneous equation? false true

Q 22: x^{2} + y^{2} + z^{2}, is this equation symmetry or not? No Yes

Q 23: Find the square root of 625x^{6}. 25x^{4} 25x^{3} 25x^{2}

Q 24: 5x^{4}  3x^{3} + 7x^{2}  4x + 2 = 0, is this reciprocal requation or not. Yes No

Q 25: 5x + 3y+ 15y^{2}, is this a homogeneous equation? true false

Q 26: Find the value of m and n so that x^{4}  6x^{3} + 5x^{2} + mx + n is perfect square. m = 8 and n = 6 m = 6 and n = 8 m = 12 and n = 4 m = 4 and n = 12

Q 27: Find the value of m and n so that x^{4}  4x^{2} + mx + n is a perfect square. m = 0 and n = 4 m = 2 and n = 3 m = 4 and n = 0 None of these

Q 28: Find the value of m and n so that 16x^{4} + 24x^{2} + mx + n is a perfect square. m = 9 and n = 0 m = 3 and n = 4 m = 0 and n = 9 m = 4 and n = 3

Q 29: x^{3} + y^{3} + x^{2} + y^{2} + x + y, is this equation symmetry or not? No Yes

Q 30: 3x + 4y + 5, is this a homogeneous equation? true false

Q 31: Find the quadratic equation whose roots are 6 and 3. x^{2}  18x + 18 x^{2}  9x + 18 x^{2} + 9x + 18 x^{2}  9x + 9

Q 32: f(x) = 2x^{2} + 3x + 1, then f(3x) = _____. 18x^{2} + 9x + 1 18x^{2}  9x + 1 18x^{2} + 9x + 3

Q 33: Find the quadratic equation whose roots are 8 and 3. x^{2} + 5x  24 x^{2}  8x  24 x^{2}  11x  24 x^{2}  5x  24

Q 34: What is the first degree expression to be added to x^{4} + 6x^{3} + 19x^{2} + 27x + 23. 2x + 3 2x + 4 2x  4 3x + 2

Q 35: Find the square root of 4x^{4} + 12x^{3} + 17x^{2} + 2x + 4. 2x^{2}  3x + 2 2x^{2}  3x  2 2x^{2} + 3x + 2 2x^{2} + 3x  2

Q 36: Find the nature of the roots of the equation 3x^{2}  12x + 7 = 0. Real and distinct Complex and distinct Real and equal

Q 37: Find the square root of (x  2y + 3z)^{2}  12z(x2y). x  2y  3z x  2y  2z x  3y  3z

Q 38: Find the nature of the roots of the equation 2x^{2}  3x + 7 = 0. Real and equal Real and distinct Complex and distinct

Q 39: Find the value of a and b so that x^{4}  6x^{3} + 5x^{2} + ax + b is a perfect square. a = 8 and b = 7 a = 15 and b = 5 a = 12 and b = 4 a = 5 and b = 8

Q 40: Find the quadratic equation whose roots are 3/4 and 1/2. 8x^{2}  10x  3 8x^{2}  8x + 3 8x^{2} + 10x + 3 8x^{2}  10x + 3

Q 41: If one root of 3x^{2}  (10+a)x + 10 = 0 is 5 find the value of a. 7 5 4 6

Q 42: Find the product of the roots of 8x^{2}  14x  15 = 0. 15/8 8/15 15/8 8/15

Q 43: Solve, 6x^{2} + 9x  6 = 0. 3/2 and 2/3 3/2 and 2/3 3/2 and 2/3 3/2 and 2/3

Q 44: If one root of 2x^{2}  (16+a)x + 25 = 0 is 5/2 find the value of a. 2 1 1 2

Q 45: Find the sum of the roots of 12x^{2}  x  1 = 0. 12 1/12 12 1/12

Q 46: Find the square root of 1296x^{6}y^{4}. 36x^{2}y^{3} 36x^{3}y^{2} 36x^{4}y

Q 47: Find the product of roots of the equation 3x^{2} + 7x + 6 = 0. 2 3 5 6

Q 48: If one root of 2x^{2}  (3+a)x + 6 = 0 is 2 find the value of a. 5 3 6 4

Q 49: Find the square root of
(6x^{2} + 16x + 8)(8x^{2} + 20x + 8)(12x^{2} + 14x + 4). (3x + 2)(2x + 4)(3x + 3) (4x + 2)(2x + 4)(4x + 3) (3x + 2)(x + 4)(4x + 3) (3x + 2)(2x + 4)(4x + 3)

Q 50: Find the nature of the roots of the equation x^{2}  7x + 3 = 0. Complex and distinct Real and equal Real and distinct

Q 51: Find the square root of (x + 2)(x + 4)(x + 6)(x + 8) + 16. x^{2} + 8x + 20 x^{2} + 10x + 20 x^{2} + 10x + 15

Q 52: Solve, 12x^{2}  x  1 = 0. 1/4 and 1/3 1/4 and 1/3 1/4 and 1/3 1/4 and 1/3

Q 53: x^{3} + 3x^{2}y + xy^{2} + y^{3}, is this equation symmetry or not? Yes No

Q 54: Square of the valiable x is _______. Ö
x^{2} x^{2}

Q 55: If one root of x^{2}  (4+a)x  15 = 0 is 3 find the value of a. 2 3 3 2

Q 56: Find the square root of x^{4}  6x^{3} + 5x^{2} + 12x + 4. x^{2}  3x  2 x^{2} + 3x  2 x^{2}  3x + 2 x^{2} + 3x  2

Q 57: Numbers of the form Ö6, Ö5 and Ö7 are called ________. Real numbers imaginary numbers

Q 58: x^{3} + y^{3} + x^{2} + y^{2} + x + y, is this symmetry or not. No Yes

Q 59: Find the square root of 25x^{4}  20x^{2}y^{2} + 4y^{4}. 5x  2y^{2} 5x^{2}  2y^{2} 5x^{2}  2y 5x  2y

Q 60: Solve, 8x^{2}  14x  15 = 0. 3/4 and 5/2 3/4 and 5/2 3/4 and 5/2 3/4 and 5/2

Q 61: Find the nature of the roots of the equation 4x^{2} + 5x + 2 = 0. Complex and distinct Real and distinct Real and equal

Q 62: Find the sum of roots of the equation 5x^{2} + 11x + 3 = 0. 11/5 11/5 12/5 12/5

Q 63: Solve, 6x^{2} + 7x + 2 = 0. 1/2 and 2/3 1/2 and 2/3 1/2 and 2/3 1/2 and 2/3

Q 64: Third degree homogeneous symmetric expression in x and y is _________. ax^{3} + bx^{2}y + cxy^{2} + dy^{3} ax^{2} + bx^{2}y + cxy^{2} + dy^{2} ax^{3} + bx^{2}y^{2} + cxy^{2} + dy^{3} ax^{3} + bx^{2}y + cx^{2}y^{2} + dy^{3}

Q 65: Find the square root of
(12x^{2} + 23x + 10)(15x^{2} + 13x + 2)(20x^{2} + 29x + 5). (4x + 5)(3x + 2)(5x + 1) (4x + 5)(3x + 2)(5x + 2) (4x + 5)(3x + 4)(5x + 1) (4x + 3)(3x + 2)(5x + 1)

Q 66: Find the square root of 4x^{4} + y^{4} + 9z^{4} + 4x^{2}y^{2}  6y^{2}z^{2}  12x^{2}z^{2}. 2x^{2} + y + 3x^{2} 2x + y + 3z 2x^{2} + y^{2}  3z^{2}

Q 67: Find the nature of the roots of the equation 3x^{2}  7x + 3 = 0. Real and distinct Real and equal Complex and distinct

Q 68: Expand, Õ a^{2}b. (Variables 'a' and 'b') (a^{2}b)(b^{2}a) a^{2}b (a^{2}b)+(b^{2}a) b^{2}a

Q 69: If one root of x^{2}  (7+a)x  56 = 0 is 8 find the value of a. 6 8 6 8

Q 70: Find the value of ma nd n so that 25x^{4} + 50x^{2} + mx + n is a perfect square. m = 0 and n = 5 m = 5 and n = 9 m = 0 and n = 25 None of these

Q 71: Find the square root of 25x^{2}. None of these 5x^{2} 5x 15x

Q 72: Find the quadratic equation whose roots are 9 and 1/2. 2x^{2}  19x + 9 2x^{2} + 19x + 9 2x^{2}  14x + 9 2x^{2}  19x  9

Q 73: Solve, 6x^{4}  x^{2}  2 = 0. Ö(1/2) and Ö(2/3) Ö(1/2) and Ö(2/3) Ö(1/2) and Ö(2/3)

Q 74: Solve, 2x^{2} + 13x + 15 = 0. 5/2 and 5 3/5 and 5 3/2 and 5 5/3 and 5

Q 75: Solve, 2x^{4}  9x^{3} + 14x^{2}  9x + 2 = 0 1,1/2 and 3/2 1,2 and 1/2 1,2 and 3/2 None of these

Q 76: How much is to be added to 4x^{4}  12x^{3}  11x^{2} + 30x + 21 to make it perfect square. 3 5 7 4

Q 77: Solve, 9x^{4}  3x^{2}  2 = 0. Ö(1/3) and Ö(2/3) Ö(1/3) and Ö(2/3) Ö(1/3) and Ö(2/3)

Q 78: Find the square root of 16x^{2}y^{2}z^{4}. 4x^{2}yz 4xy^{2}z 4xyz^{2}

Q 79: Find the square root of x^{4}  4x^{3} + 8x^{2}  8x + 4. x^{2} + 2x + 2 x^{2} + 2x  2 x^{2}  2x  2 x^{2}  2x + 2

Q 80: Find the square root of 4x^{4}  4x^{3} + 37x^{2}  18x + 81 2x^{2} + x  9 2x^{2}  x + 9 2x^{2} + x + 9

Q 81: Find the value of a and b so that 9x^{4} + 6x^{3}  17x^{2}  ax + b is a perfect square. a = 9 and b = 6 a = 7 and b = 8 a = 8 and b = 7 a = 6 and b = 9

Q 82: Find the quadratic equation whose roots are 3/2 and 5/2. 4x^{2}  16x + 15 4x^{2}  16x + 15 4x^{2} + 16x + 15 4x^{2}  12x + 15

Q 83: 3x^{3}  6x^{2}y + 3xy^{2} + 7y^{3}, is this a homogeneous equation? true false

Q 84: Find the sum of the roots of 6x^{2} + 13x + 5 = 0. 6/13 6/13 13/6 13/6

Q 85: Find the square root of
(x^{2}  4x + 3)(x^{2}  12x + 27)(x^{2}  10x + 9). (x  9)(x  3)(x + 1) (x  9)(x  3)(x  1) (x + 9)(x  3)(x  1) (x  9)(x + 3)(x  1)

Q 86: First degree homogeneous expression in x and y is _____. ac * by ax + by

Q 87: Solve, (2x^{2}  3x)^{2}  4(2x^{2}  3x)  5 = 0. 1, 1, 1/2 and 5/2 1, 1, 1/2 and 5/2 1, 1, 1/2 and 5/2

Q 88: What is the first degree expression to be added to x^{4} + 4x^{3}  4x^{2}  19x + 11 = 0 to make it perfect square. 3x + 6 3x  6 3x  5 3x + 5

Q 89: f(x) = 2x^{2}  4x + 1, then 3f(x) = _______. 6x^{2}  12x + 1 6x^{2}  12x + 3 2x^{2}  4x + 3 6x^{2}  4x + 3

Q 90: Solve, x^{2}  11x + 28 = 0. 4 and 7 4 and 7 4 and 7 4 and 7

Q 91: Find the square root of x^{4}  2x^{3}  5x^{2} + 6x + 9. x^{2}  x  3 x^{2}  x + 3 x^{2} + x  3

Q 92: Find the square root of
(x^{2} + 10x + 16)(x^{2} + 11x + 24)(x^{2} + 5x + 6). (x + 2)(x + 8)(x + 3) (x + 2)(x  8)(x + 3) (x  2)(x + 8)(x + 3) (x + 2)(x + 8)(x  3)

Q 93: The sum of two symmetric expression is a _______. not a symmetric expression symmetric expression

Q 94: Find the square root of x^{4} + y^{4} + 9z^{4}  2x^{2}y^{2}  6x^{2}z^{2} + 6y^{2}z^{2}. x^{2}  y^{2} + 3z^{2} x^{2} + y^{2} + 3z^{2} x^{2}  y^{2}  3z^{2}

Q 95: Find the nature of the roots of the equation 3x^{2}  15x + 5 = 0. Real and distinct Real and equal Complex and distinct

Q 96: Solve, 6x^{4} + 11x^{2}  3 = 0. Ö(3/2) and Ö(1/3) Ö(3/2) and Ö(1/3) Ö(3/2) and Ö(1/3)

Q 97: Solve, 12x^{4} + 10x^{2} + 2 = 0 Ö(1/2) and Ö(1/3) Ö(1/2) and Ö(1/3) Ö(1/2) and Ö(1/3)

Q 98: Product of two homogeneous expression is a ________. homogeneous expression not a homogeneous expression

Question 99: This question is available to subscribers only!

Question 100: This question is available to subscribers only!

