New ! Maths MCQ Practise Tests

11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Two

11th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The inverse of f(x)=\(\begin{cases} x\quad if\quad x<1 \\ { x }^{ 2 }\quad if\quad 1\le x\le 4 \\ 8\sqrt { x } \quad if\quad x>4 \end{cases}\) is

    (a)

    \({ f }^{ -1 }(x)=\begin{cases} x\quad if\quad x<1 \\ \sqrt { x } \quad if\quad 1\le x\le 16 \\ \frac { { x }^{ 2 } }{ 64 } \quad if\quad x>16 \end{cases}\)

    (b)

    \({ f }^{ -1 }(x)=\begin{cases} -x\quad if\quad x<1 \\ \sqrt { x } \quad if\quad 1\le x\le 16 \\ \frac { { x }^{ 2 } }{ 64 } \quad if\quad x>16 \end{cases}\)

    (c)

    \({ f }^{ -1 }(x)=\begin{cases} { x }^{ 2 }\quad if\quad x<1 \\ \sqrt { x } \quad if\quad 1\le x\le 16 \\ \frac { { x }^{ 2 } }{ 64 } \quad if\quad x>16 \end{cases}\)

    (d)

    \({ f }^{ -1 }(x)=\begin{cases} { 2x }\quad if\quad x<1 \\ \sqrt { x } \quad if\quad 1\le x\le 16 \\ \frac { { x }^{ 2 } }{ 8 } \quad if\quad x>16 \end{cases}\)

  2. If 8 and 2 are the roots of x2+ax+c=0 and 3,3 are the roots of x2+dx+b=0;then the roots of the equation x2+ax+b = 0 are

    (a)

    1,2

    (b)

    -1,1

    (c)

    9,1

    (d)

    -1,2

  3. The product of r consecutive positive integers is divisible by

    (a)

    r!

    (b)

    (r-1)!

    (c)

    (r+1)!

    (d)

    rr

  4. The sum up to n terms of the series \(\frac { 1 }{ \sqrt { 1 } +\sqrt { 3 } } +\frac { 1 }{ \sqrt { 3 } +\sqrt { 5 } } +\frac { 1 }{ \sqrt { 5 } +\sqrt { 7 } } +\)....is 

    (a)

    \(\sqrt { 2n+1 } \)

    (b)

    \(\frac { \sqrt { 2n+1 } }{ 2 } \)

    (c)

    \(\sqrt { 2n+1 } -1\)

    (d)

    \(\frac { \sqrt { 2n+1 } -1 }{ 2 } \)

  5. If a is the arithmetic mean and g is the geometric mean of two numbers, then

    (a)

    \(\le \) g

    (b)

    \(\ge\) g

    (c)

    a = g

    (d)

    a > g

  6. The equation of the line with slope 2 and the length of the perpendicular from the origin equal to \(\sqrt5\) is

    (a)

    x+2y=\(\sqrt5\)

    (b)

    2x+y=\(\sqrt5\)

    (c)

    2x+y=5

    (d)

    x+2y-5=0

  7. \(\theta\) is acute angle between the lines x2-xy- 6y2 = 0, then \(\frac{2\cos\theta+3\sin\theta}{4\sin\theta+5\cos\theta}\) is

    (a)

    1

    (b)

    \(-\frac{1}{9}\)

    (c)

    \(\frac{5}{9}\)

    (d)

    \(\frac{1}{9}\)

  8. If 7x2 - 8xy +A = 0 represents a pair of perpendicular lines, the A is

    (a)

    7

    (b)

    -7

    (c)

    -8

    (d)

    8

  9. If \(\triangle\)=\(\begin{vmatrix} a&b &c \\ x & y & z \\ p &q &r \end{vmatrix}\) ,then \(\begin{vmatrix} ka&kb &kc \\ kx & ky & kz \\k p &kq &kr \end{vmatrix}\)is

    (a)

    \(\triangle\)

    (b)

    k\(\triangle\)

    (c)

    3k\(\triangle\)

    (d)

    k3\(\triangle\)

  10. \(lim_{x \rightarrow \infty}{\sqrt{x^2-1}\over 2x+1}=\)

    (a)

    1

    (b)

    0

    (c)

    -1

    (d)

    \(1\over 2\)

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

TN 11th Standard Maths free Online practice tests

Reviews & Comments about 11th Standard Maths English Medium Free Online Test Book Back 1 Mark Questions with Answer Key - Part Two

Write your Comment