Total Number of Question/s - 3865

Just Exam provide question bank for Class XI standard. Currently number of question's are 3865. We provide this data in all format (word, excel, pdf, sql, latex form with images) to institutes for conducting online test/ examinations. Here we are providing some demo contents.
Interested person may contact us at info@justexam.in


  • 1. Sets - Quiz


    SAMPLE QUESTIONS


    1. Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B.
    a) 3
    b) 6
    c) 9
    d) 18

    2. If the set A contains 5 elements, then the number of elements in the power set P(A) is equal to
    a) 32
    b) 25
    c) 16
    d) 8
    e) 10

  • 2. Relations and Functions - Quiz


    SAMPLE QUESTIONS


  • 3. Trigonometric Functions - Quiz


    SAMPLE QUESTIONS


  • 4. Principle of Mathematical Induction - Quiz


    SAMPLE QUESTIONS


  • 5. Complex Numbers and Quadratic Equations - Quiz


    SAMPLE QUESTIONS


    1. If z = r(cosθ + isinθ), then the value of $\frac{z}{\bar{z}} + \frac{\bar{z}}{z}$ is
    a) cos2θ
    b) 2 cos2θ
    c) 2 cosθ
    d) 2 sinθ
    e) 2 sin 2θ

    2. Find the value of (1 + 2ω + ω2)3n - (1 - ω + 2ω2)3n =
    a) 0
    b) 1
    c) ω
    d) ω2

  • 6. Linear Inequalities - Quiz


    SAMPLE QUESTIONS


  • 7. Permutations and Combinations - Quiz


    SAMPLE QUESTIONS


    1. The number of times the digit 3 will be written when listing the integers from 1 to 1000 is
    a) 269
    b) 300
    c) 271
    d) 302

    2. There is a rectangular sheet of dimension (2m - 1) x (2n - 1), (where , m > 0 , n > 0). It has been divided into square of unit area by drawing lines perpendicular to the sides. Find number of rectangles having sides of odd unit length

    a) (m + n + 1)2
    b) mn(m + 1)(n + 1)
    c) 4m+n-2
    d) m2n2

  • 8. Binomial Theorem - Quiz


    SAMPLE QUESTIONS


    1. In the expansion of $\left (x + \frac{2}{x^{2}} \right )^{15}$, the term independent of x is
    a) 15C626
    b) 15C525
    c) 15C425
    d) 15C828

    2. Let P(n) be a statement and let P(n) = P(n + 1) for all natural numbers n, then P(n) is true
    a) For all n
    b) For all n > 1
    c) For all n > m, m being a fixed positive integer
    d) Nothing can be said

  • 9. Sequences and Series - Quiz


    SAMPLE QUESTIONS


  • 10. Straight Lines - Quiz


    SAMPLE QUESTIONS


    1. The equations y = ±$sqrt{3}$x, y = 1 are the sides of
    a) An equilateral triangle
    b) A right angled triangle
    c) An isosceles triangle
    d) An obtuse angled triangle

    2. The distance of the lines 2x - 3y = 4 from the point (1,1) measured parallel to the line x + y = 1 is
    a) $\sqrt{2}$
    b) $\frac{5}{\sqrt{2}}$
    c) $\frac{1}{\sqrt{2}}$
    d) 6

  • 11. Conic Sections - Quiz


    SAMPLE QUESTIONS


    1. Let P(6,3) be a point ob the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}}$ = 1.If the normal at the point P intersects the x-axis at (9,0) , then the eccentricity of the hyperbola is
    a) $\sqrt{\frac{5}{2}}$
    b) $\sqrt{\frac{3}{2}}$
    c) $\sqrt{2}$
    d) $\sqrt{3}$

    2. The line y = x intersects the hyperbola $\frac{x^{2}}{9} - \frac{y^{2}}{25}$ = 1 at the points P and Q. The eccentricity of ellipse with PQ is major axis and minor axis of length $\frac{5}{\sqrt{2}}$, is
    a) $\frac{\sqrt{5}}{3}$
    b) $\frac{5}{\sqrt{3}}$
    c) $\frac{5}{9}$
    d) $\frac{2\sqrt{2}}{3}$

  • 12. Introduction to Three Dimensional Geometry - Quiz


    SAMPLE QUESTIONS


  • 13. Limits and Derivatives - Quiz


    SAMPLE QUESTIONS


  • 14. Mathematical Reasoning - Quiz


    SAMPLE QUESTIONS


    1. The negition of the statement If I become a teacher , then I will open a school is
    a) I will become a teacher and I will not open school
    b) Either I will not become a teacher or I will not open a school
    c) Neither I will become a teacher not I will open a school
    d) I will not become a teacher or I will open a school

    2. Which of the following statements is a tautology
    a) (∼q ^ p) ^ q
    b) (∼ q ^ p) ^ (p ^ ∼ p)
    c) (∼q ^ p) ∨ (p∨ ∼ p)
    d) (p ^ q) ^ (∼(p ^ q)

  • 15. Statistics - Quiz


    SAMPLE QUESTIONS


    1. A particle is dropped under gravity from rest from a height h(g = 9.8m/sec2) and then it travels a distance $\frac{9h}{25}$ in the last second. The height h is
    a) 100 metre
    b) 122.5 metre
    c) 145 metre
    d) 167.5 metre

    2. A particle moves towards east from a point A to a point B at this rate of 4km/h . Of AB = 12km and BC to 5km, then its average speed for its hourney from A to C and resultant average velocity direction from A to C are respectively
    a) $\frac{13}{9}km/h$ and $\frac{17}{9}km/h$
    b) $\frac{13}{4}km/h$ and $\frac{17}{4}km/h$
    c) $\frac{17}{9}km/h$ and $\frac{17}{9}km/h$
    d) V = $\frac{u}{1 - kxu}$

  • 16. Probability - Quiz


    SAMPLE QUESTIONS


  • 17. Quadratic Equation and Inequation - Quiz


    SAMPLE QUESTIONS


    1. If α , β, γ are roots of equation x3 + ax2 + bx + c = 0, then α-1 + β-1 + γ-1 =
    a) a/c
    b) -b/c
    c) b/a
    d) c/a

    2. The value of k for which the quadratic equation, kx2 + 1 = kx + 3x - 11x2 has real and equal roots are
    a) -11, -3
    b) 5,7
    c) 5,-7
    d) None of these

  • 18. Progression - Quiz


    SAMPLE QUESTIONS


    1. Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. . Then the common ratio of the G.P is
    a) $2 - \sqrt{3}$
    b) $2 + \sqrt{3}$
    c) $\sqrt{2} + \sqrt{3}$
    d) $3 + \sqrt{2}$

    2. The value of n for which $\frac{x^{n+1} + y^{n+1}}{x^{n} + y^{n}}$ is the geometric mean of x and y is
    a) n = $-\frac{1}{2}$
    b) n = $\frac{1}{2}$
    c) n = 1
    d) n = -1

  • 19. Exponential and Logarithmic Series - Quiz


    SAMPLE QUESTIONS


    1. The coefficient of xn in the expansion of loge(1 + 3x + 2x2) is
    a) $\left (-1 \right )^{n}\left [\frac{2^{n} + 1}{n} \right ]$
    b) $\frac{\left (-1 \right )^{n+1}}{n}\left [2^{n} + 1 \right ]$
    c) $\frac{2^{n} + 1}{n}$
    d) None of these

    2. The sum to infinity to the given series $\frac{1}{n} - \frac{1}{2n^{2}} + \frac{1}{3n^{3}} - \frac{1}{4n^{4}} + ....$ is
    a) $log_{e}\left (\frac{n + 1}{n} \right )$
    b) $log_{e}\left (\frac{n}{n + 1} \right )$
    c) $log_{e}\left (\frac{n - 1}{n} \right )$
    d) $log_{e}\left (\frac{n}{n - 1} \right )$

  • 20. Trigonometric Ratio, Function and Identities - Quiz


    SAMPLE QUESTIONS


    1. The value of $\frac{tanA + secA - 1}{tanA - secA + 1}$
    a) $\frac{1 + cosA}{sinA}$
    b) $\frac{1 + sinA}{cosA}$
    c) $\frac{1 - cosA}{1 + cosA}$
    d) $\frac{1 + sinsA}{1 - sinA}$

    2. If sinx + cosecx = 2, then sinnx + cosecnx is equal to
    a) 2
    b) 2n
    c) 2n-1
    d) 2n-2

  • 21. Trigonometric Equation and Inequation - Quiz


    SAMPLE QUESTIONS


    1. If cosθ + cos7θ + cos3θ + cos5θ = 0, then is
    a) $\frac{n\pi}{4}$
    b) $\frac{n\pi}{2}$
    c) $\frac{n\pi}{8}$
    d) None of these

    2. ABCD is a trapezium such that AB and CD are parallel and BC ⊥ CD. If ∠ADB = θ , BC = p and CD = q, then AB is equal to
    a) $\frac{\left (p^{2} + q^{2} \right )sin\theta}{pcos\theta + q sin\theta}$
    b) $\frac{p^{2} + q^{2}cos\theta}{pcos\theta + qsin\theta}$
    c) $\frac{p^{2} + q^{2}}{p^{2}cos\theta + q^{2}sin\theta}$
    d) $\frac{\left (p^{2} + q^{2} \right )sin\theta}{\left (pcos\theta + q sin\theta \right )^{2}}$

  • 22. Hyperbolic Function - Quiz


    SAMPLE QUESTIONS


    1. tanh-1x =
    a) $\frac{1}{2}log\left (\frac{x + 1}{x - 1} \right )$
    b) $\frac{1}{2}log\left (\frac{x - 1}{x + 1} \right )$
    c) $\frac{1}{2}log\left (\frac{1 - x}{1 + x} \right )$
    d) $\frac{1}{2}log\left (\frac{1 + x}{1 - x} \right )$

    2. The period of cosh(4x) is
    a) 2πi
    b) πi
    c) $\frac{\pi i}{2}$
    d) 2π

  • 23. Rectangular Cartesian Coordinate - Quiz


    SAMPLE QUESTIONS


    1. If (0,β) lies on a inside the triangle with sides y + 3x + 2 = 0, 3y - 2x - 5 = 0 and 4y + x - 14 = 0, then
    a) $0 \le \beta \le \frac{7}{2}$
    b) $0 \le \beta \le \frac{5}{2}$
    c) $\frac{5}{3} \le \beta \le \frac{7}{2}$
    d) None of these

    2. Let A(2,-3) and B(-2,1) be vertices of a triangle ABC . If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
    a) 3x - 2y = 3
    b) 2x - 3y =7
    c) 3x + 2y =5
    d) 2x + 3y =9

  • 24. Circle and System of Circle - Quiz


    SAMPLE QUESTIONS


    1. The centre of the circle passing through (0,0) and (1,0) and touching the circle x2 + y2 = 9 is
    a) $\left (\frac{1}{2}, \frac{1}{2} \right )$
    b) $\left (\frac{1}{2}, -\sqrt{2} \right )$
    c) $\left (\frac{3}{2}, \frac{1}{2} \right )$
    d) $\left (\frac{1}{2}, \frac{3}{2} \right )$

    2. If the tangent to the circle x2 + y2 = r2 at the point (a,b) meets the coordinate axes at the point A and B and O is the origin, then the area of the triangle OAB is
    a) $\frac{r^{4}}{2ab}$
    b) $\frac{r^{4}}{ab}$
    c) $\frac{r^{2}}{2ab}$
    d) $\frac{r^{2}}{ab}$

  • 25. Pair of Straight Line - Quiz


    SAMPLE QUESTIONS


    1. The point of intersection of the lines of the lines represented by the equation 2(x + 2)2 + 3(x + 2)(y - 2) - 2(y - 2)2 = 0 is
    a) (2,2)
    b) (-2,-2)
    c) (-2,2)
    d) (-2,1)

    2. If the bisectors of the lines x2 - 2pxy - y2 = 0 be x2 - 2qxy - y2 = 0, then
    a) pq + 1 = 0
    b) pq - 1 = 0
    c) p + q = 0
    d) p - q = 0