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11th Standard English Medium Maths Subject Creative 2 Mark Questions with Solution Part - I

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 50

    2 Marks

    25 x 2 = 50
  1. Write the following in roster form.
    The set of all positive roots of the equation (x-1)(x+1)(x2-1) = 0.

  2. Write the following in roster form.
    \(\left\{ x:\frac { x-4 }{ x+2 } =3,x\in R-\{ -2\} \right\} \)

  3. State whether the following sets are finite or infinite.
    {x \(\in \) N:x is a rational number}

  4. By taking suitable sets A, B, C, verify the following results:
    \(\times\) (B\(\cup \)C) = (A\(\times\)B) \(\cup \) (A\(\times\)C)

  5. Discuss the following relations for reflexivity, symmetricity and transitivity :
    Let A be the set consisting of all the female members of a family. The relation R defined by "aRb if a is not a sister of b".

  6. The distance of an object falling is a function of time t and can be expressed as s(t) = -16t2. Graph the function and determine if it is one-to-one.

  7. If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find \(n((A\cup B)\times(A\cap B)\times(A \triangle B))\)

  8. Simplify \({ 16 }^{ -\frac { 3 }{ 4 } }\)

  9. Simplify \(\left( 3^{ -6 } \right) ^{ \frac { 1 }{ 3 } }\)

  10. Represent the following inequalities in the interval notation:
    \(x\le 5\) and \(x\ge -3\)

  11. Solve 23x < 100 when
    (i) x is a natural number
    (ii) x is an integer.

  12. Find the logarithm of 1728 to the base 2\(\sqrt{3}\)

  13. Identify the quadrant in which an angle of each given measure lies; 250

  14. Identify the quadrant in which an angle of each given measure lies; -550

  15. Identify the quadrant in which an angle of each given measure lies; -2300

  16. Prove that \(\cos { \left( 30^o+x \right) } =\frac { \sqrt { 3 } \cos { x } -\sin { x } }{ 2 } \)

  17. Prove that \(\sin { \left( \pi +\theta \right) } =-\sin { \theta } \)

  18. Find the principal value of sec-1\(\left( -\sqrt { 2 } \right) \)

  19. Prove that \(\sin { 4\alpha } =4\tan { \alpha } \frac { 1-\tan ^{ 2 }{ \alpha } }{ { \left( 1+\tan ^{ 2 }{ \alpha } \right) }^{ 2 } } \)

  20. Express each of the following as a sum or difference. sin 4x cos 2x

  21. Find the value of tan 120°.

  22. Determine whether the following functions are even, odd or neither.
    sin (cos(x)).

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