Algebra English Medium Free Online Test 1 Mark Questions with Answer Key 2020 - 2021

10th Standard

    Reg.No. :
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Maths

Time : 00:15:00 Hrs
Total Marks : 15

    Part A

    15 x 1 = 15
  1. A system of three linear equations in three variables is inconsistent if their planes

    (a)

    intersect only at a point

    (b)

    intersect in a line

    (c)

    coincides with each other

    (d)

    do not intersect

  2. If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

    (a)

    3

    (b)

    5

    (c)

    6

    (d)

    8

  3. y2 + \(\frac {1}{y^{2}}\) is not equal to

    (a)

    \(\frac {y^{2} + 1}{y^{2}}\)

    (b)

    \({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }\)

    (c)

    \({ \left( y-\frac { 1 }{ y } \right) }^{ 2 }+2\)

    (d)

    \({ \left( y+\frac { 1 }{ y } \right) }^{ 2 }-2\)

  4. Which of the following should be added to make x4 + 64 a perfect square

    (a)

    4x2

    (b)

    16x2

    (c)

    8x2

    (d)

    -8x2

  5. Graph of a linear equation is a ____________

    (a)

    straight line

    (b)

    circle

    (c)

    parabola

    (d)

    hyperbola

  6. If A is a 2 x 3 matrix and B is a 3 x 4 matrix, how many columns does AB have

    (a)

    3

    (b)

    4

    (c)

    2

    (d)

    5

  7. Transpose of a column matrix is

    (a)

    unit matrix

    (b)

    diagonal matrix

    (c)

    column matrix

    (d)

    row matrix

  8. Which of the following can be calculated from the given matrices A  = \(\left( \begin{matrix} 1 & 2 \\ 3 & 4 \\ 5 & 6 \end{matrix} \right) \), B = \(\left( \begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{matrix} \right) \),
    (i) A2
    (ii) B2
    (iii) AB
    (iv) BA

    (a)

    (i) and (ii) only

    (b)

    (ii) and (iii) only

    (c)

    (ii) and (iv) only

    (d)

    all of these

  9. If A = \(\left( \begin{matrix} 1 & 2 & 3 \\ 3 & 2 & 1 \end{matrix} \right) \), B = \(\left( \begin{matrix} 1 & 0 \\ 2 & -1 \\ 0 & 2 \end{matrix} \right) \) and C = \(\left( \begin{matrix} 0 & 1 \\ -2 & 5 \end{matrix} \right) \), Which of the following statements are correct?
    (i) AB + C =  \(\left( \begin{matrix} 5 & 5 \\ 5 & 5 \end{matrix} \right) \)
    (ii) BC = \(\left( \begin{matrix} 0 & 1 \\ 2 & -3 \\ -4 & 10 \end{matrix} \right) \)
    (iii) BA + C = \(\left( \begin{matrix} 2 & 5 \\ 3 & 0 \end{matrix} \right) \)
    (iv) (AB)C = \(\left( \begin{matrix} -8 & 20 \\ -8 & 13 \end{matrix} \right) \) 

    (a)

    (i) and (ii) only

    (b)

    (ii) and (iii) only

    (c)

    (iii) and (iv) only

    (d)

    all of these

  10. Which of the following is correct
    (i) Every polynomial has finite number of multiples
    (ii) LCM of two polynimials of degree 2 may be a constant
    (iii) HCF of 2 polynomials may be constant
    (iv) Degree of HCF of two polynomials is always less then degree of LCM

    (a)

    (i) and (ii)

    (b)

    (iii) and (iv)

    (c)

    (iii) only

    (d)

    (iv) only

  11. The HCF of two polynomials p(x) and q(x) is 2x(x + 2) and LCM is 24x(x + 2)2 (x - 2) if p(x) = 8x+ 32x+ 32x, then q(x) ___________

    (a)

    4x3-16x

    (b)

    6x3-24x

    (c)

    12x3+24x

    (d)

    12x3-24x

  12. \(\frac { { x }^{ 2 }+7x12 }{ { x }^{ 2 }+8x+15 } \times \frac { { x }^{ 2 }+5x }{ { x }^{ 2 }+6x+8 } =\_ \_ \_ \_ \_ \_ \_ \_ \_ \)

    (a)

    x+2

    (b)

    \(\frac { x }{ x+2 } \)

    (c)

    \(\frac { 35{ x }^{ 2 }+60x }{ { 48x }^{ 2 }+120 } \)

    (d)

    \(\frac { 1 }{ x+2 } \)

  13. The product of the sum and product of roots of equation (a2-b2)x2-(a+b)2x+(a3-b3) = 0 is ___________

    (a)

    \(\frac { { a }^{ 2 }+ab+{ b }^{ 2 } }{ (a-b) } \)

    (b)

    \(\frac { a-b }{ a+b } \)

    (c)

    \(\frac { a-b }{ a+b } \)

    (d)

    \(\frac { a-b }{ { a }^{ 2 }+ab+{ b }^{ 2 } } \)

  14. The parabola y = -3x2 is ___________

    (a)

    Open upward

    (b)

    Open downward

    (c)

    Open rightward

    (d)

    Open leftward

  15. If P and Q are matrices, then which of the following is true?

    (a)

    PQ ≠ QP

    (b)

    (PT)≠ P

    (c)

    P + Q ≠ Q + P

    (d)

    All are true

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