Class/Course - Class XI

Subject - Math

Total Number of Question/s - 3865


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  • 1. Sets - Quiz

    1. Let a relation R is defined by R = {(4,5); (1,4); (4,6); (7,6); (3,7)} then R-1oR is
    a) {(1,1), (4,4), (4,7), (7,4),(7,7), (3,3)}
    b) {(1,1), (4,4), (7,7), (3,3)}
    c) {(1,5), (1,6), (3,6)}
    d) None of these

    2. Let R = {(1,3), (2,2), (3,2)} and S = {(2,1), (3,2), (2,3)} be two relations on set A = {1,2,3}. Then RoS =
    a) {(1,3), (2,2), (3,2), (2,1), (2,3)}
    b) {(3,2), (1,3)}
    c) {(2,3), (3,2), (2,2)}
    d) {(2,3), (3,2)}

  • 2. Relations and Functions - Quiz

  • 3. Trigonometric Functions - Quiz

  • 4. Principle of Mathematical Induction - Quiz

  • 5. Complex Numbers and Quadratic Equations - Quiz

    1. If |8 + z| + |z - 8| = 16 where z is a complex number, then the point z will lie on
    a) A circle
    b) An ellipse
    c) A straight line
    d) None of these

    2. The argument of the complex number $\frac{13 - 5i}{4 - 9i}$ is
    a) $\frac{\pi}{3}$
    b) $\frac{\pi}{4}$
    c) $\frac{\pi}{5}$
    d) $\frac{\pi}{6}$

  • 6. Linear Inequalities - Quiz

  • 7. Permutations and Combinations - Quiz

    1. In npr = 30240 and nCr = 252, then the ordered pair (n,r) is equal to
    a) (12,6)
    b) (10,5)
    c) (9,4)
    d) (16,7)

    2. A parallelogram is cut by two sets of m lines parallel to its sides. The number of parallelgrams thus formed is
    a) (mC2)2
    b) (m+1C2)
    c) (m+2C2)2
    d) None of these

  • 8. Binomial Theorem - Quiz

    1. If the coefficient of x7 in $\left (ax^{2} + \frac{1}{bx} \right )^{11}$ is equal to the coefficient of x7 in $\left (ax - \frac{1}{bx^{2} } \right )^{11}$, then ab =
    a) 1
    b) 1/2
    c) 2
    d) 3

    2. The sum of coefficients in the expansion of (x + 2y + 3z)8 is
    a) 38
    b) 58
    c) 68
    d) None of these

  • 9. Sequences and Series - Quiz

  • 10. Straight Lines - Quiz

    1. The lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 are perpendicular to each other, if
    a) a1b2 - b1a2 = 0
    b) a1a2 + b1b2 = 0
    c) $a_{1}^{2}b_{2} + b_{1}^{2}a_{2}$ = 0
    d) a1b1 + a2b2 = 0

    2. The medians AD and BE of a triangle with vertices A(0,b) , B(0,0) and C(a,0) are perpendicular to each other if,
    a) a = $\sqrt{2}$b
    b) a = -$\sqrt{2}$b
    c) Both (a) and (b)
    d) None of these

  • 11. Conic Sections - Quiz

    1. The equation of common tangents to the parabola y2 = 8x and hyperbola 3x2 - y2 = 3, is
    a) 2x ± y + 1 = 0
    b) 2x ± y - 1 = 0
    c) x ± 2y + 1 = 0
    d) x + 2y - 1 = 0

    2. If a ≠ 0 and the line abx + 3cy + 4d = 0 passes through the points of intersection of the parabola y2 = 4ax and x2 = 4ay, then
    a) d2 + (3b - 2c)2 = 0
    b) d2 + (3b - 2c)2 = 0
    c) d2 + (2b - 3c)2 = 0
    d) d2 + (2b + 3c)2 = 0

  • 12. Introduction to Three Dimensional Geometry - Quiz

  • 13. Limits and Derivatives - Quiz

  • 14. Mathematical Reasoning - Quiz

    1. The statement p → (q → p) is equivalent to
    a) p → (p ∨ q)
    b) p → (p ^ q)
    c) p → (p ↔ q)
    d) p → (p → q)

    2. Negation of the proposition : If we control population growth, we prosper
    a) If we do not control population growth , we propsper
    b) Itf we control population growth, we do not prosper
    c) We control population but we do not prosper
    d) We do not control population, but we prosper

  • 15. Statistics - Quiz

    1. Two trains A and B, 100 kms apart, are travelling to each other with starting speed of 50km/hr for both . The train A is accelerating at 18km/hr2 and B is decelerating at 18 km/hr2. The distance where the engines cross each other from the initial position of A is
    a) 50 kms
    b) 68 kms
    c) 32 kms
    d) 59 kms

    2. What will be that force when applying along any inclination plane will stop 10kilogram weight , it is given that force reaction of plane and weight of body are in arithmetic series
    a) 4kg-wt
    b) 6kg-wt
    c) 8kg-wt
    d) 7kg-wt

  • 16. Probability - Quiz

  • 17. Quadratic Equation and Inequation - Quiz

    1. If k ε (-∞, -2) ∪ (2,∞), then the roots of the equation x2 + 2kx + 4 = 0 are
    a) Complex
    b) Real and Unequal
    c) Real and equal
    d) One real and one imaginary

    2. If one root of the equation ax2 + bx + c = 0 the square of the other, then a(c - b)3 = cX, where X is
    a) a3 + b3
    b) (a - b)3
    c) a3 - b3
    d) None of these

  • 18. Progression - Quiz

    1. If a, ,b,c, d are in H.P., then ab + bc + cd is equal to
    a) 3ad
    b) (a + b)(c + d)
    c) 3ac
    d) None of these

    2. If three real numbers a, ,b, c are in harmonic progression, then which of the following is true
    a) $\frac{1}{a}, b, \frac{1}{c}$ are in A.P.
    b) $\frac{1}{bc}, \frac{1}{ca}, \frac{1}{ab}$ are in H.P.
    c) ab,bc, ca are in H.P.
    d) $\frac{a}{b}, \frac{b}{c}, \frac{c}{a}$ are in H.P.

  • 19. Exponential and Logarithmic Series - Quiz

    1. If S = $\frac{1}{1.2} - \frac{1}{2.3} + \frac{1}{3.4} - \frac{1}{4.5} + .... + \infty$, then eS =
    a) $log_{e}\left (\frac{4}{e} \right )$
    b) $\frac{4}{e}$
    c) $log_{e}\left (\frac{e}{4} \right )$
    d) $\frac{e}{4}$

    2. $\frac{1}{3!} + \frac{2}{5!} + \frac{3}{7!} + ....$ =
    a) e-1/2
    b) e
    c) e/4
    d) e/6

  • 20. Trigonometric Ratio, Function and Identities - Quiz

    1. Let fk(x) = $\frac{1}{k}\left (sin^{k}x + cos^{k}x \right )$ where x ε R and k ≥ 1. Then f4(x) - f0(x) equals
    a) $\frac{1}{4}$
    b) $\frac{1}{12}$
    c) $\frac{1}{6}$
    d) $\frac{1}{3}$

    2. If α, β are solution of 6cosθ + 8 sinθ = 9, then sin(α + β) =
    a) $\frac{3}{5}$
    b) $\frac{4}{5}$
    c) $\frac{24}{25}$
    d) $\frac{12}{13}$

  • 21. Trigonometric Equation and Inequation - Quiz

    1. Two straight roads intersect at an angle of 600, A bus on one road is 2km away from the intersection and a car on the other road is 3km away from the intersection. Then the direct distance between the two vehivles is
    a) 1 km
    b) $\sqrt{2}$ km
    c) 4 km
    d) $\sqrt{7}$ km

    2. If the sides of the triangle are 5K, 6K, 5K and radius of incircle is 6 then value of K is equal to
    a) 4
    b) 5
    c) 6
    d) 7

  • 22. Hyperbolic Function - Quiz

    1. The imaginary part of tan-1(cosθ + isinθ) is
    a) tanh-1(sinθ)
    b) tanh-1(∞)
    c) 1/2tanh-1(sinθ)
    d) None of these

    2. sinh-1x =
    a) $log\left (x + \sqrt{1 - x^{2}} \right )$
    b) $log\left (x + \sqrt{ x^{2} + 1} \right )$
    c) $log\left (x + \sqrt{ x^{2} - 1} \right )$
    d) None of these

  • 23. Rectangular Cartesian Coordinate - Quiz

    1. If the three points (0,1), (0,-1) and (x,0) are vertices of an equilateral triangle, then the values of x are
    a) $\sqrt{3},\sqrt{2}$
    b) $\sqrt{3}, -\sqrt{3}$
    c) $-\sqrt{5}, \sqrt{3}$
    d) $\sqrt{2}, -\sqrt{2}$
    e) $\sqrt{5}, -\sqrt{5}$

    2. If the vertices of a triangle are A(1,4), B(3,0) and C(2,1) , then the length of the median passing through C is
    a) 1
    b) 2
    c) $\sqrt{2}$
    d) $\sqrt{3}$

  • 24. Circle and System of Circle - Quiz

    1. The locus of a point which divides the join of A(-1,1) and variable point P on the circle x2 + y2 = 4 in the ratio 3:2 is
    a) 25(x2 + y2) + 20(x - y) + 28 = 0
    b) 25(x2 + y2) + 20(x - y) - 28 = 0
    c) 20(x2 + y2) + 25(x - y) + 28 = 0
    d) None of these

    2. The locus of centre of the circle which cuts the circles x2 + y2 + 2g1x + 2f1y + c1 = 0 x2 + y2 + 2g2x + 2f2y + c2 = 0 orthogonally is
    a) An ellipse
    b) The radical axis of the given circles
    c) A conic
    d) Another circle

  • 25. Pair of Straight Line - Quiz

    1. The area (in square units) of the quadrilateral formed by the two pairs of lines l2x2 - m2y2 - n(lx + my) = 0 and l2x2 - m2y2 + n(lx - my) = 0 is
    a) $\frac{n^{2}}{2\left | lm \right |}$
    b) $\frac{n^{2}}{\left | m \right |}$
    c) $\frac{n}{2\left | m \right |}$
    d) $\frac{n^{2}}{4\left | m \right |}$

    2. The pair of lines represented by 3ax2 + 5xy + (a2 - 2)y2 = 0 are perpendicular to each other for
    a) Two values of a
    b) ∀a
    c) For one value of a
    d) For no value of a