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

11th Standard

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Maths

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

    Answer all the questions

    10 x 1 = 10
  1. The function f:[0,2π]➝[-1,1] defined by f(x)=sin x is

    (a)

    one-to-one

    (b)

    on to

    (c)

    bijection

    (d)

    cannot be defined

  2.  Given that x, y and b are real numbers x<y, b>0, then

    (a)

    xb < yb

    (b)

    xb > yb

    (c)

    xb ≤ yb

    (d)

    \(\frac { x }{ b } \ge \frac { y }{ b } \)

  3. If cos280+sin280=k3, then cos 170 is equal to

    (a)

    \(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

    (b)

    -\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

    (c)

    ±\(\frac { { k }^{ 3 } }{ \sqrt { 2 } } \)

    (d)

    -\(\frac { { k }^{ 3 } }{ \sqrt { 3 } } \)

  4. In an examination there are three multiple choice questions and each question has 5 choices. Number of ways in which a student can fail to get all answer correct is

    (a)

    125

    (b)

    124

    (c)

    64

    (d)

    63

  5. The sequence\(\frac { 1 }{ \sqrt { 3 } } ,\frac { 1 }{ \sqrt { 3 } +\sqrt { 2 } } \frac { 1 }{ \sqrt { 3 } +2\sqrt { 2 } } \)...form an 

    (a)

    AP

    (b)

    GP

    (c)

    HP

    (d)

    AGP

  6. Which of the following equation is the locus of (at2; 2at)

    (a)

    \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\)

    (b)

    \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

    (c)

    x2+y2=a2

    (d)

    y2=4ax

  7. What must be the matrix X, if 2x+\(\begin{bmatrix} 1& 2 \\ 3 & 4 \end{bmatrix}=\begin{bmatrix} 3 & 8 \\ 7 & 2 \end{bmatrix}?\)

    (a)

    \(\begin{bmatrix} 1& 3 \\ 2 &-1 \end{bmatrix}\)

    (b)

    \(\begin{bmatrix} 1& -3 \\ 2 &-1 \end{bmatrix}\)

    (c)

    \(\begin{bmatrix} 2& 6 \\ 4 &-2 \end{bmatrix}\)

    (d)

    \(\begin{bmatrix} 2& -6 \\ 4 &-2 \end{bmatrix}\)

  8. If y = f(x2+2) and f '(3) = 5,then \({dy\over dx}\) at x = 1 is

    (a)

    5

    (b)

    25

    (c)

    15

    (d)

    10

  9. \(\int {x+2\over \sqrt{x^2+1}}dx\)is

    (a)

    \(\sqrt{x^2-1}-2 log|x+\sqrt{x^2-1}|+c\)

    (b)

    \(sin^{-1}x-2 log|x+\sqrt{x^2-1}|+c\)

    (c)

    \(2 log|x+\sqrt{x^2-1}|-sin^{-1}x+c\)

    (d)

    \(\sqrt{x^2-1}+2log|x+\sqrt{x^2-1}|+c\)

  10. If m is a number such that m \(\le\) 5, then the probability that quadratic equation 2x2+2mx+m+1=0 has real roots is

    (a)

    \({1\over 5}\)

    (b)

    \({2\over 5}\)

    (c)

    \({3\over 5}\)

    (d)

    \({4\over 5}\)

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