" /> -->

12th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Three

12th Standard EM

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. If A is a non-singular matrix such that A-1 = \(\left[ \begin{matrix} 5 & 3 \\ -2 & -1 \end{matrix} \right] \), then (AT)−1 =

    (a)

    \(\left[ \begin{matrix} -5 & 3 \\ 2 & 1 \end{matrix} \right] \)

    (b)

    \(\left[ \begin{matrix} 5 & 3 \\ -2 & -1 \end{matrix} \right] \)

    (c)

    \(\left[ \begin{matrix} -1 & -3 \\ 2 & 5 \end{matrix} \right] \)

    (d)

    \(\left[ \begin{matrix} 5 & -2 \\ 3 & -1 \end{matrix} \right] \)

  2. If (1+i)(1+2i)(1+3i)...(1+ni)=x+iy, then \(2\cdot 5\cdot 10...\left( 1+{ n }^{ 2 } \right) \) is

    (a)

    1

    (b)

    i

    (c)

    x2+y2

    (d)

    1+n2

  3. According to the rational root theorem, which number is not possible rational root of 4x7+2x4-10x3-5?

    (a)

    -1

    (b)

    \(\frac { 5 }{ 4 } \)

    (c)

    \(\frac { 4 }{ 5 } \)

    (d)

    5

  4. If |x|\(\le\)1, then 2tan-1 x-sin-1 \(\frac{2x}{1+x^2}\) is equal to

    (a)

    tan-1x

    (b)

    sin-1x

    (c)

    0

    (d)

    \(\pi\)

  5. If P(x, y) be any point on 16x2+25y2=400 with foci F1 (3,0) and F2 (-3,0) then PF1 PF2 +
    is

    (a)

    8

    (b)

    6

    (c)

    10

    (d)

    12

  6. If the two tangents drawn from a point P to the parabolay2 = 4x are at right angles then the locus of P is

    (a)

    2x+1=0

    (b)

    x = −1

    (c)

    2x−1=0

    (d)

    x =1

  7. Distance from the origin to the plane 3x - 6y + 2z 7 = 0 is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  8. The maximum value of the function x2 e-2x,

    (a)

    \(\cfrac { 1 }{ e } \)

    (b)

    \(\cfrac { 1 }{ 2e } \)

    (c)

    \(\cfrac { 1 }{ { e }^{ 2 } } \)

    (d)

    \(\cfrac { 4 }{ { e }^{ 4 } } \)

  9. If w (x, y, z) = x2 (v - z) + y2 (z - x) + z2(x - y), then \(\frac { { \partial }w }{ \partial x } +\frac { \partial w }{ \partial y } +\frac { \partial w }{ \partial z } \) is

    (a)

    xy + yz + zx

    (b)

    x(y + z)

    (c)

    y(z + x)

    (d)

    0

  10. The value of \(\int _{ 0 }^{ a }{ { (\sqrt { { a }^{ 2 }-{ x }^{ 2 } } ) }^{ 2 } } dx\)

    (a)

    \(\frac { { \pi a }^{ 2 } }{ 16 } \)

    (b)

    \(\frac { 3\pi { a }^{ 4 } }{ 16 } \)

    (c)

    \(\frac { 3\pi { a }^{2 } }{ 8} \)

    (d)

    \(\frac { 3\pi { a }^{ 4 } }{ 8} \)

*****************************************

TN 12th Standard EM Maths free Online practice tests

Reviews & Comments about 12th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Three

Write your Comment