Class/Course  Class XI
Subject  Math
Total Number of Question/s  3865
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1. Sets  Quiz
1. Let A = {x,y,z) and B = {a,b,c,d}. Which one of the following is not a relation form A to B
a) {(x,a), (x,c)}
b) {(y,c), (y,d)}
c) {(z,a), (z,d)}
d) {(z,b), (y,b), (a,d)}
e) {(x,c)}
2. Which of the following is a true statement
a) {a} ε {a,b,c}
b) {a} ⊆ {a,b,c}
c) φ ε {a,b,c}
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. sinh ix is
a) i sin(ix)
b) i sin x
c) i sinx
d) sin(ix)
2. A wan walks a distance of 3 units from the origin towards the northeast (N 45^{0}E direction. From there, he walks a distance of 4 units towards the northwest (N 45^{0}W) direction to reach a point P. Then the position of P in the Argand plane is
a) 3e^{iπ/4} + 4i
b) (3  4i)e^{iπ/4}
c) (4 + 3i)e^{iπ/4}
d) (3 + 4i)e^{iπ/4}

6. Linear Inequalities  Quiz

7. Permutations and Combinations  Quiz
1. A car will hold 2 in the front seat and 1 in the rear seat. If among 6 persons 2 can drive, then the number of ways in which the car can be filled is
a) 10
b) 20
c) 30
d) None of these
2. The number of ways in which 10 persons can go in two boats so that there may be 5 on each boat, supposing that two particular will not go in the same boat is
a) $\frac{1}{2}\left (^{10}C_{5} \right )$
b) 2(^{8}C_{4})
c) $\frac{1}{2}\left (^{8}C_{5} \right )$
d) None of these

8. Binomial Theorem  Quiz
1. In the expansion of $\left (2x^{2}  \frac{1}{x} \right )^{12}$, the term independent of x is
a) 10^{th}
b) 9^{th}
c) 8^{th}
d) 7^{th}
2. The value of $\binom{30}{0}\binom{30}{0}  \binom{30}{1}\binom{30}{11} + \binom{30}{2}\binom{30}{12} + ....... + \binom{30}{20}\binom{30}{30}$
a) ^{60}C_{20}
b) ^{30}C_{10}
c) ^{60}C_{30}
d) ^{40}C_{30}

9. Sequences and Series  Quiz

10. Straight Lines  Quiz
1. If the line px  qy = r intersects the coordinate axes at (a,0) and (0,b), then value of a + b is equal to
a) $r\left (\frac{q + p}{pq} \right )$
b) $r\left (\frac{q  p}{pq} \right )$
c) $r\left (\frac{p  q}{pq} \right )$
d) $r\left (\frac{p + q}{q  p} \right )$
e) $r\left (\frac{p  q}{q + p} \right )$
2. The vertices of a triangle are (2,1), (5,2) and (4,4). The lengths of the perpendicular from the vertices on the opposite sides are
a) $\frac{7}{\sqrt{5}}, \frac{7}{\sqrt{13}}, \frac{7}{\sqrt{6}}$
b) $\frac{7}{\sqrt{6}}, \frac{7}{\sqrt{8}}, \frac{7}{\sqrt{10}}$
c) $\frac{7}{\sqrt{5}}, \frac{7}{\sqrt{8}}, \frac{7}{\sqrt{15}}$
d) $\frac{7}{\sqrt{5}}, \frac{7}{\sqrt{13}}, \frac{7}{\sqrt{10}}$

11. Conic Sections  Quiz
1. The line xcosα + ysinα = p will be a tangent to the conic $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}$ = 1 , if
a) p^{2} = a^{2}sin^{2}α + b^{2}cos^{2}α
b) p^{2} = a^{2} + b^{2}
c) p^{2} = b^{2}sin^{2}α + a^{2}cos^{2}α
d) None of these
2. Let P be a variable point on the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}}$ = 1 with foci F_{1} and F_{2}. If A is the area of the triangle PF_{1}F_{2}, then maximum value of A is
a) ab
b) abe
c) $\frac{e}{ab}$
d) $\frac{ab}{e}$

12. Introduction to Three Dimensional Geometry  Quiz

13. Limits and Derivatives  Quiz

14. Mathematical Reasoning  Quiz
1. ∼ p ^ q is logically equivalent to
a) p → q
b) q → p
c) ∼ (p → q)
d) ∼(q → p)
2. Which of the following is the inverse of the proposition : If a number is a prime then it is odd.
a) If a number is not a prime then it is odd
b) If a number is not a prime then it is not odd
c) If a number is not odd then it is not a prime
d) If a number is not odd then it is a prime

15. Statistics  Quiz
1. A glass marble, whose mass is (1/10)kg falls from a height of 2.5 m and rebounds to a height of 1.6m. Then the average force between the marble and the floor , if the time during which they are in contact be onetenth of a second, is
a) 10.58 N
b) 11.58 N
c) 12.58 N
d) 13.58N
2. The resultant of the forces 4,3,4 and 3 unit acting along the lines AB, BC, CD and DA of a square ABCD of side a respectively is
a) A force 5$\sqrt{2}$ through the centre of the square
b) A couple of moment 7a
c) A null force
d) None of these

16. Probability  Quiz

17. Quadratic Equation and Inequation  Quiz
1. If the roots of the equation x^{2}  5x + 16 = 0 are α, β and the roots of equation x^{2} + px + q = 0 are α^{2} + β^{2} , $\frac{\alpha\beta}{2}$, then
a) p = 1, q = 56
b) p = 1, q = 56
c) p = 1, q = 56
d) p = 1, q = 56
2. If the roots of equation $\frac{x^{2}  bx}{ax  c}$ = $\frac{m  1}{m + 1}$ are equal but opposite in sign, then the value of m will be
a) $\frac{a  b}{a + b}$
b) $\frac{b  a}{a + b}$
c) $\frac{a + b}{a  b}$
d) $\frac{b + a}{b  a}$

18. Progression  Quiz
1. The sum of three decreasing numbers in A.P. is 27. If 1,1,3 are added to them respectively, the resulting series is in G.P. The numbers are
a) 5, 9, 13
b) 15, 9, 3
c) 13, 9 , 5
d) 17, 9 , 1
2. If a,b,c are three unequal numbers such that a, b, c are in A.P. and b  a, c  b, a are in G.P. , then a : b : c is
a) 1:2:3
b) 2:3:1
c) 1:3:2
d) 3:2:1

19. Exponential and Logarithmic Series  Quiz
1. $1 + \frac{4^{2}}{3!} + \frac{4^{4}}{5!} + .... \infty$ =
a) $\frac{e^{4} + e^{4}}{4}$
b) $\frac{e^{4}  e^{4}}{4}$
c) $\frac{e^{4} + e^{4}}{8}$
d) $\frac{e^{4}  e^{4}}{8}$
2. $\frac{1}{1.3} + \frac{1}{2.5} + \frac{3.7}{} + \frac{1}{4.9} + ...$ is equal to
a) 2log_{e}2  2
b) 2  log_{e} 2
c) 2log_{e}4
d) log_{e}4

20. Trigonometric Ratio, Function and Identities  Quiz
1. If A, B, C are angles of a triangle, then sin2A + sin2B  sin2C is equal to
a) 4sinA cosB cosC
b) 4cosA
c) 4sinAcosA
d) 4cosAcosBcosC
2. $cos^{2}\left (\frac{\pi}{6} + \theta\right )  sin^{2}\left (\frac{\pi}{6}  \theta \right )$ =
a) $\frac{1}{2}cos2\theta$
b) 0
c) $\frac{1}{2}cos2\theta$
d) $\frac{1}{2}$

21. Trigonometric Equation and Inequation  Quiz
1. The most general value of θ satisfying the equations tanθ = 1 and cosθ = $\frac{1}{\sqrt{2}}$ is
a) $n\pi + \frac{7\pi}{4}$
b) $n\pi + \left (1 \right )^{n}\frac{7\pi}{4}$
c) $2n\pi + \frac{7\pi}{4}$
d) None of these
2. In a ΔABC, r_{1} < r_{2} < r_{3} , then
a) a < b < c
b) a > b > c
c) b < a < c
d) a < c < b

22. Hyperbolic Function  Quiz
1. If cosecθ = cothx, then the value of tanθ is
a) coshx
b) sinhx
c) tanhx
d) cosechx
2. The value of $2coth^{1}\left (\frac{z}{2} \right )$ is
a) $log\left (\frac{z  2}{z + 2} \right )$
b) $\frac{1}{2}$$log\left (\frac{z  1}{z + 1} \right )$
c) $\frac{1}{2}$$log\left (\frac{z + 1}{z  1} \right )$
d) $log\left (\frac{z  2}{z + 2} \right )$

23. Rectangular Cartesian Coordinate  Quiz
1. ABC is an isosceles triangle. If the coordinates of the base are B(1,3) and C(2,7), the coordination of vertex A can be
a) (1,6)
b) $\left (\frac{1}{2},5 \right )$
c) $\left (\frac{5}{6},6 \right )$
d) None of these
2. If coordinates of the point A and B are (2,4) and (4,2) respectively and point M is such that AMB also AB = 3 AM, then the coordinates of M are
a) $\left(\frac{8}{3}, \frac{10}{3} \right )$
b) $\left (\frac{10}{3}, \frac{14}{4}\right )$
c) $\left (\frac{10}{3}, \frac{6}{3}\right )$
d) $\left (\frac{13}{4}, \frac{10}{4}\right )$

24. Circle and System of Circle  Quiz
1. The two circles which passes through (0, a) and (0,a) and touch the line y = mx + c will intersect each other at right angle, if
a) a^{2} = c^{2}(2m + 1)
b) a^{2} = c^{2}(2 + m^{2})
c) c^{2} = a^{2}(2 + m^{2})
d) c^{2} = a^{2}(2m + 1)
2. The line L passes through the points of intersection of the circles x^{2} + y^{2} = 25 and x^{2} + y^{2}  8x + 7 = 0. The length of perpendicular from centre of second circle onto the line L, is
a) 4
b) 3
c) 1
d) 0

25. Pair of Straight Line  Quiz
1. The area enclosed bounded by the angle bisectors of the lines x^{2}  y^{2} + 2y = 1 and the line x + y = 3, is
a) 2
b) 3
c) 4
d) 6
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