Q 1: Find the square root of 4x^{4} + 8x^{3} + 9x^{2} + 4x + 4. 2x^{2}  x + 2 2x^{2} + x  2 2x^{2} + x + 2

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

Q 4: x^{4} + 2x^{3}  3x^{2} + 2x + 1 = 0, is this reciprocal requation or not. Yes No

Q 5: Find the nature of the roots of the equation 3x^{2}  7x + 3 = 0. Real and equal Real and distinct Complex and distinct

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

Q 7: Square of the valiable x is _______. x^{2} Ö
x^{2}

Q 8: Find the nature of the roots of the equation 2x^{2}  3x + 7 = 0. Real and equal Complex and distinct Real and distinct

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

Q 10: Find the product of the roots of 8x^{2}  14x  15 = 0. 8/15 15/8 8/15 15/8

Q 11: Find the square root of 16x^{2}  8xy + y^{2}. 4x^{2}  y 4x  y 4x  y^{2}

Q 12: What is the first degree expression to be subtracted from 16x^{4} + 16x^{3} + 20x^{2} + 10x  1. 3x  4 3x + 4 2x  3 2x  4

Q 13: 5x + 3y+ 15y^{2}, is this a homogeneous equation? true false

Q 14: Find the nature of the roots of the equation 4x^{2} + 5x + 2 = 0. Real and distinct Real and equal Complex and distinct

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

Q 16: Find the square root of
(12x^{2} + 23x + 10)(15x^{2} + 13x + 2)(20x^{2} + 29x + 5). (4x + 3)(3x + 2)(5x + 1) (4x + 5)(3x + 2)(5x + 2) (4x + 5)(3x + 4)(5x + 1) (4x + 5)(3x + 2)(5x + 1)

Q 17: Solve, 2x^{4}  9x^{3} + 14x^{2}  9x + 2 = 0 1,2 and 3/2 1,2 and 1/2 None of these 1,1/2 and 3/2

Q 18: 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 19: Expand, Õ a^{2}b. (Variables 'a' and 'b') a^{2}b (a^{2}b)(b^{2}a) (a^{2}b)+(b^{2}a) b^{2}a

Q 20: Find the square root of 16x^{4} + 16x^{3} + 12x^{2} + 4x + 1. 4x^{2} + 2x  1 4x^{2} + 2x + 1 4x^{2}  2x  1

Q 21: 5x^{4} + 6x^{3}y + 3x^{2}y^{2}, is this homogeneous equation? false true

Q 22: If one root of x^{2}  (5+a)x + 24 = 0 is 3 find the value of a. 6 4 5 2

Q 23: If one root of x^{2}  (7+a)x  56 = 0 is 8 find the value of a. 8 6 6 8

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

Q 25: Find the square root of 1296x^{6}y^{4}. 36x^{3}y^{2} 36x^{4}y 36x^{2}y^{3}

Q 26: Find the product of roots of the equation 3x^{2} + 7x + 6 = 0. 2 3 6 5

Q 27: x^{2} + y^{2} + z^{2}, is this equation symmetry or not? No Yes

Q 28: 3x^{3} + 4y^{3} + 5z^{3}. is this a homogeneous equation? false true

Q 29: The difference of two symmetric expression is a ___________. symmetric expression not a symmetric expression

Q 30: Find the square root of 4^{3}y^{4}z^{6}. 2xy^{3}z^{4} 2xy^{3}z^{3} 2xy^{2}z^{3} 2xyz^{2}

Q 31: 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 32: If one root of 2x^{2}  (16+a)x + 25 = 0 is 5/2 find the value of a. 1 2 1 2

Q 33: Find the square root of 9x^{2} + 24xy + 16y^{2}. 3x + 4y 2x + 3y 3x + 2y

Q 34: Solve, x^{2} + 5x + 6 = 0. 3 and 2 3 and 2 3 and 2 3 and 2

Q 35: Find the square root of 4x^{4}  4x^{3}  7x^{2} + 4x + 4 2x^{2} + x  2 2x^{2}  x  2 2x^{2}  x + 2 2x^{2} + x + 2

Q 36: If one root of x^{2}  (4+a)x  15 = 0 is 3 find the value of a. 3 3 2 2

Q 37: 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 38: 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 39: Solve, 15x^{4} + 13x^{2} + 2 = 0. Ö(2/3) and Ö(1/5) Ö(2/3) and Ö(1/5) Ö(2/3) and Ö(1/5)

Q 40: Find the quadratic equation whose roots are 8 and 3. x^{2} + 5x  24 x^{2}  11x  24 x^{2}  8x  24 x^{2}  5x  24

Q 41: 3x^{3}  6x^{2}y + 3xy^{2} + 7y^{3}, is this a homogeneous equation? true false

Q 42: Find the square root of 225x^{4}. 15x^{2} 15x^{3} 15x

Q 43: Find the value of a and b so that 4x^{4} + 12x^{3} + 17x^{2} + ax + b is a perfect square. a = 2 and b = 4 a = 3 and b = 4 a = 3 and b = 5 a = 4 and b = 5

Q 44: 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 45: Find the quadratic equation whose roots are 3/2 and 5/2. 4x^{2}  16x + 15 4x^{2}  16x + 15 4x^{2}  12x + 15 4x^{2} + 16x + 15

Q 46: f(x) = 2x^{2}  4x + 1, then 3f(x) = _______. 6x^{2}  12x + 3 2x^{2}  4x + 3 6x^{2}  12x + 1 6x^{2}  4x + 3

Q 47: Find the quadratic equation whose roots are 7 and 2. x^{2}  9x  14 x^{2}  5x  14 x^{2} + 5x  14 x^{2}  5x + 14

Q 48: Solve, 3x^{2}  4x  6 = 0. 2/3 and 3 2/3 and 3 2/3 and 3 2/3 and 3

Q 49: Find the square root of 4^{4}  4x^{3} + 12x^{2}  16x + 16. x^{2} + 2x + 4 x^{2}  2x + 4 x^{2} + 2x  4

Q 50: If all the terms of an algebraic expression are of the same degree, then such an expression is called a _______. not a homogeneous expression homogeneous expression

Q 51: 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 52: 3x^{3} + 5xy^{2} + 3y^{3}, is this homogeneous equation? false true

Q 53: 5x^{4}  3x^{3} + 7x^{2}  4x + 2 = 0, is this reciprocal requation or not. Yes No

Q 54: If one root of 2x^{2}  (3+a)x + 6 = 0 is 2 find the value of a. 3 4 5 6

Q 55: What is the first degree expression to be subtracted from 4x^{4} + 8x^{3}  8x^{2}  9x + 11. 2x  4 2x + 3 3x + 2 2x + 4

Q 56: x^{3} + y^{3} + x^{2} + y^{2} + x + y, is this equation symmetry or not? No Yes

Q 57: 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 58: Find the nature of the roots of the equation 3x^{2}  15x + 5 = 0. Real and equal Complex and distinct Real and distinct

Q 59: What is the first degree expression to be subtracted from 9x^{4}  12x^{3} + 12x^{2}  9x + 13. 2x  4 2x + 4 3x + 4 3x  4

Q 60: What is the first degree expression to be added to x^{4} + 6x^{3} + 19x^{2} + 27x + 23. 2x + 3 3x + 2 2x  4 2x + 4

Q 61: x^{3} + 3x^{2}y + xy^{2} + y^{3}, is this equation symmetry or not? No Yes

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

Q 63: Find the square root of 25x^{2}. 5x^{2} 5x 15x None of these

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

Q 65: 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 66: 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 67: Solve, 2x^{2} + 11x + 12 = 0. 3/2 and 4 3/2 and 4 3/2 and 4 3/2 and 4

Q 68: 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 69: Find the square root of 64x^{2}y^{2}. None of these 8x^{2}y 8xy^{2} 8xy

Q 70: The product of two symmetric expressions is ______. symmetric not symmetric

Q 71: Find the nature of the roots of the equation 3x^{2} + 7x  4 = 0. Real and equal Real and distinct Complex and distinct

Q 72: If one root of 6x^{2}  (21+a)x + 25 = 0 is 5/2 find the value of a. 5 6 4 7

Q 73: 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)(2x + 4)(4x + 3) (3x + 2)(x + 4)(4x + 3)

Q 74: Find the square root of x^{2} + 9y^{2} + 4z^{2}  6xy + 12yz + 4xz. x  3y + 2z x + 3y + 2z x + 3y  2x

Q 75: 2x^{4}  3x^{3} + 5x^{2}  3x + 2 = 0, is this reciprocal requation or not. Yes No

Q 76: Solve, (x^{2}  2x)^{2}  11(x^{2}  2x) + 24 = 0. 1, 2, 3 and 4 1, 2, 3 and 4 1, 2, 3 and 4

Q 77: The sum of two symmetric expression is a _______. not a symmetric expression symmetric expression

Q 78: 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 79: 5x^{2} + 7y^{2} + 5z^{2}, is this a homogeneous equation? true false

Q 80: 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 81: The quotient of two symmetric expressions is ______. not symmetric symmetric

Q 82: Find the square root of 9x^{4} + 6x^{2}y^{2} + y^{4}. 3x^{2} + y^{2} 3x^{2} + 2y^{2} 3x + y

Q 83: Find the quadratic equation whose roots are 6 and 3. x^{2} + 9x + 18 x^{2}  9x + 18 x^{2}  9x + 9 x^{2}  9x  18

Q 84: Find the quadratic equation whose roots are 1/2 and 3/2. 4x^{2}  8x  3 4x^{2} + 8x + 3 4x^{2}  8x + 3 4x^{2}  6x + 3

Q 85: If one root of 3x^{2}  (10+a)x + 10 = 0 is 5 find the value of a. 6 4 5 7

Q 86: How much is subtracted from 4x^{4} + 12x^{3} + 17x^{2} + 2x + 7 to make it perfect square. 6 2 3 5

Q 87: 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 88: Find the product of the roots of 6x^{2}  13x + 6 = 0. 5 1 1

Q 89: Find the square root of (x  2y + 3z)^{2}  12z(x2y). x  2y  2z x  2y  3z x  3y  3z

Q 90: Find the sum of the roots of 6x^{2} + 7x + 2 = 0. 7/6 6/7 7/6 6/7

Q 91: Find the square root of the equation 4x^{4} + 8x^{3} + 9x^{2} + 4x + 4 = 0 using undetermind method. 2x^{2} + x + 1 2x^{2} + 2x + 2 2x^{2}  x + 2 2x^{2} + x + 2

Q 92: Find the square root of 961x^{2}y^{4}. 31x^{2}y None of these 31xy^{4} 31xy^{2}

Q 93: Find the product of the roots of 2x^{2} + 7x + 6 = 0. 2/5 3 3

Q 94: Find the product of the roots of 6x^{2} + 9x  6 = 0. 2 1 1

Q 95: Solve, x^{2}  x  6 = 0.
3 and 2 3 and 2 3 and 2 3 and 2

Q 96: Find the square root of x^{2} + 4y^{2} + 9z^{2} + 4xy + 6xz + 12yz. x  2y + 3z x +2y  3z x + 2y + 3z None of these

Q 97: 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 98: Solve, 3x^{4}  16x^{3} + 26x^{2}  16x + 3 = 0. 1,1/2 and 2/3 1,1/2 and 1/3 1,3 and 2/3 1,3 and 1/3

Question 99: This question is available to subscribers only!

Question 100: This question is available to subscribers only!

