Class/Course  Class XI
Subject  Math
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
1. If n(A) = 4, n(B) = 3, n(A x B x C) = 24, then n(C) =
a) 288
b) 1
c) 12
d) 17
e) 2
2. For any two sets A and B if A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some set X , then
a) A  B = A ∩ B
b) A = B
c) B  A = A ∩ B
d) None of these

2. Relations and Functions  Quiz

3. Trigonometric Functions  Quiz

4. Principle of Mathematical Induction  Quiz

5. Complex Numbers and Quadratic Equations  Quiz
1. If P is the point in the argand diagram corresponding to the complex number $\sqrt{3}$ + i and if OPQ is an isosceles right angled triangle, right angled at O, then Q represents the complex number
a) $\sqrt{3}$  i or 1  i$\sqrt{3}$
b) 1 ± i$\sqrt{3}$
c) 1 + i$\sqrt{3}$ or 1  i$\sqrt{3}$
d) 1 ± i$\sqrt{3}$
2. If z = x + iy and $arg\left (\frac{z  2}{z + 2} \right )$ = $\frac{\pi}{6}$, then locus of z is
a) A straight line
b) A circle
c) A parabola
d) An ellipse

6. Linear Inequalities  Quiz

7. Permutations and Combinations  Quiz
1. The value of ^{20}P_{2} is
a) 20
b) 19
c) 380
d) None of these
2. 20 persons are invited for a party. In how many different ways can they and the host be seated at a circular table. If the two particular persons are to be seated on either side of the host
a) 20!
b) 2 . 18!
c) 18!0
d) None of these

8. Binomial Theorem  Quiz
1. In the expansion of (x + a)^{n}, the sum of odd terms is P and sum of even terms is Q, then the value of (P^{2}  Q^{2}) will be
a) (x^{2} + a^{2})^{n}
b) (x^{2}  a^{2})^{n}
c) (x  a)^{2n}
d) (x + a)^{2n}
2. The term independent of x in $\left [\sqrt{\frac{x}{3}} + \frac{\sqrt{3}}{x^{2}} \right ]^{10}$ is
a) 2/3
b) 5/3
c) 4/3
d) None of these

9. Sequences and Series  Quiz

10. Straight Lines  Quiz
1. The equation of the perpendicular bisector of the line segment joining A(2,3) and B(6,5) is
a) x  y = 1
b) x  y = 3
c) x + y = 3
d) x + y = 1
e) x + y = 1
2. The equation of the line which bisects the obtuse angle between the lines x  2y + 4 = 0 and 4x  3y + 2 = 0, is
a) $\left (4  \sqrt{5}\right )x  \left (3 2 \sqrt{5} \right )y + \left (2  4\sqrt{5} \right )$ = 0
b) $\left (4 + \sqrt{5}\right )x  \left (3 +2 \sqrt{5} \right )y + \left (2 + 4\sqrt{5} \right )$ = 0
c) $\left (4 + \sqrt{5}\right )x + \left (3 +2 \sqrt{5} \right )y + \left (2 + 4\sqrt{5} \right )$ = 0
d) None of these

11. Conic Sections  Quiz
1. The locus of the point of intersection of lines (x + y)t = a and x  y = at, where t is the parameter , is
a) A circle
b) An ellipse
c) A rectangular hyperbola
d) None of these
2. Three normals are drawn to the parabola y^{2} = x through point (a,0) . Then
a) a = 1/2
b) a = 1/4
c) a = 1/2
d) None of these

12. Introduction to Three Dimensional Geometry  Quiz

13. Limits and Derivatives  Quiz

14. Mathematical Reasoning  Quiz
1. An AND gate is the Boolean function defined by
a) f(x_{1},x_{2}) = x_{1}.x_{2}, x_{1}x_{2} Îµ {0,1}
b) f(x_{1},x_{2}) = x_{1} + x_{2}, x_{1}x_{2} Îµ {0,1}
c) f(x_{1},x_{2}) = x_{1}, x_{1}x_{2} Îµ {0,1}
d) f(x_{1},x_{2}) = x_{2}, x_{1}x_{2} Îµ {0,1}
2. Which of the following is not a proposition
a) $\sqrt{3}$ is a prime
b) $\sqrt{2}$ is irrational
c) Mathematics is interesting
d) 5 is an even integer

15. Statistics  Quiz
1. A force $\sqrt{5}$ unit act along the line $\frac{x3}{2}$ = $\frac{y4}{1}$, the moment of the force about point (4,1) along zaxis is
a) 0
b) 5$\sqrt{5}$
c) $\sqrt{5}$
d) 5
2. A bowler throws a bumper with a speed of 25 m/sec. The moment the ball touches the ground , it losses its energy by 1.5 kgm. If the weight of the ball is 225gm, the speed of the ball at which it hits the bat is
a) 2.22 m/sec
b) 22.2 m/sec
c) 4.44m/sec
d) 44.4 n/sec

16. Probability  Quiz

17. Quadratic Equation and Inequation  Quiz
1. If the equation a_{n}x^{n} + a_{n1}x^{n1} + ….. + a_{1}x = 0, a_{1} ≠ 0, n ≥ 2, has a positive root x = α , then the equation na_{n}x^{n1} + (n1)a_{n1}x^{n2} + ..... + a_{1} =  has a positive root, which is
a) Greater than or equal to α
b) Equal to α
c) Greater than α
d) Smaller than α
2. The condition that x^{3}  px^{2} + qx  r = 0 may have two of its roots equal to each other but opposite in sign is
a) r = pq
b) r = 2p^{3} + pq
c) r = p^{2}q
d) None of these

18. Progression  Quiz
1. The sum of the series 5.05 + 1.212 + 0.29088 + …. ∞ is
a) 6.93378
b) 6.87342
c) 6.74384
d) 6.64474
2. A boy goes to school from his home at a speed of x km/hour and comes back at a speed of y km/hour, then the average speed is given by
a) A.M.
b) G.M.
c) H.M.
d) None of these

19. Exponential and Logarithmic Series  Quiz
1. If x,y,x are three consecutive positive integers, then $\frac{1}{2}log_{e}x + \frac{1}{2}log_{e}z + \frac{1}{2xz + 1} + \frac{1}{3}\left (\frac{1}{2xz + 1} \right )^{3} + ....$ =
a) log_{e}x
b) log_{e}y
c) log_{e}z
d) None of these
2. If S = $\frac{1}{1.2}  \frac{1}{2.3} + \frac{1}{3.4}  \frac{1}{4.5} + .... + \infty$, then e^{S} =
a) $log_{e}\left (\frac{4}{e} \right )$
b) $\frac{4}{e}$
c) $log_{e}\left (\frac{e}{4} \right )$
d) $\frac{e}{4}$

20. Trigonometric Ratio, Function and Identities  Quiz
1. If x + y + z = 180^{0}, then cos2x + cos2y  cos2z is equal to
a) 4sinx.siny.sinz
b) 1  4sinx.siny.cosz
c) 4sinx.siny.sinz1
d) cosA.cosB.cosC
2. $sin^{4}\frac{\pi}{8} + sin^{4}\frac{3\pi}{8} + sin^{4}\frac{5\pi}{8} + sin^{4}\frac{7\pi}{8}$ = =
a) $\frac{1}{2}$
b) $\frac{1}{4}$
c) $\frac{3}{2}$
d) $\frac{3}{4}$

21. Trigonometric Equation and Inequation  Quiz
1. If a, b,c are the sides of a triangle ABC, then which of the following inequalities is not true
a) 8abc ≤ (a + b)(b + c)(c + a)
b) 2bc ≤ a^{3} + b^{3} + c^{3}
c) 6abc ≤ bc(b + c) + ca(c + a) + ab(a + b)
d) abc ≤ (a + b  c)(b + c  a)(c + a  b)
2. In ΔABC, $\frac{1}{a}cos^{2}\frac{A}{2} + \frac{1}{b}cos^{2}\frac{B}{2} + \frac{1}{c}cos^{2}\frac{C}{2}$ =
a) s
b) $\frac{s}{abc}$
c) $\frac{s^{2}}{abc}$
d) $\frac{s^{3}}{abc}$

22. Hyperbolic Function  Quiz
1. sin^{2}(ix) + cosh^{2}x is equal to
a) 1
b) 1
c) 2cosh^{2}x
d) cosh2x
2. cosech^{1} equals
a) $log\left (\frac{1 + \sqrt{1 + x^{2}}}{x} \right )$
b) $log\left (\frac{1 + \sqrt{1  x^{2}}}{x} \right )$
c) $log\left (\frac{1  \sqrt{1  x^{2}}}{x} \right )$
d) $log\left (\frac{1  \sqrt{1 + x^{2}}}{x} \right )$

23. Rectangular Cartesian Coordinate  Quiz
1. Two vertices of a triangle are (4,3) and (2,5) . If the orthocentre of the triangle is at (1,2), then the third vertex is
a) (33,26)
b) (33,26)
c) (26,33)
d) None of these
2. The following points A(2a,4a), B(2a,6a) and C(2a, $\sqrt{3}a$,5a), (a>0) are the vertices of
a) An acute angled triangle
b) A right angles triangle
c) An isosceles triangle
d) None of these

24. Circle and System of Circle  Quiz
1. Area of the circle in which a cord of length $\sqrt{2}$ makes an angle $\frac{\pi}{2}$ at the centre is
a) $\frac{\pi}{2}$
b) 2π
c) π
d) $\frac{\pi}{4}$
2. The equation of the circle which passes through (1,0) and (0,1) and has its radius as small as possible , is
a) x^{2} + y^{2}  2x  2y +1 = 0
b) x^{2} + y^{2}  x  y = 0
c) 2x^{2} + 2y^{2}  3x  3y + 1 = 0
d) x^{2} + y^{2}  3x  3y + 2 = 0

25. Pair of Straight Line  Quiz
1. Let a and b be nonzero real numbers. Then, the equation (ax^{2} + by^{2} + c)(x^{2}  5y + 6y^{2}) = 0 represents
a) Four straight lines, when c = 0 and a,b are of the same sign
b) Two straight lines and a circle, when a = b and c is of sign opposite to that of a
c) Two straight line and a hyperbola, when a and b are of the same sign and c is of sign opposite to that of a
d) A circle and an ellipse, when a and b are of the same sign and c is of sign opposite to that of a
2. If in general quadratic equation f(x,y) = 0, Δ = 0 and h^{2} = ab, then the equation represents
a) Two parallel then the equation represents
b) Two perpendicular straight lines
c) Two coincident lines
d) None of these