Class/Course - Class XI

Subject - Math

Total Number of Question/s - 3865


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  • 1. Sets - Quiz

    1. Let R = {(3,3), (6,9), (9,9), (12,12), (6,12), (3,9), (3,12),(3,6)} be a relation on the set A = {3,6,9,12} . The relation is
    a) An equivalence relation
    b) Reflexive and symmeteric only
    c) Reflexive and transitive only
    d) Reflexive only

    2. If X = {8n - 7n - 1 : n ε N} and Y = {49(n - 1) : n ε N}, then
    a) X ⊆ Y
    b) Y ⊆ X
    c) X = Y
    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 z = $\frac{1 + i\sqrt{3}}{\sqrt{3} + i}$, then $\left (\bar{z} \right )^{100}$ lies in
    a) I quadrant
    b) II quadrant
    c) III quadrant
    d) IV quadrant

    2. If the amplitude of z - 2 - 3i is π/4, then the locus of z = x + iy is
    a) x + y - 1 = 0
    b) x - y -1 = 0
    c) x + y + 1 = 0
    d) x - y + 1 = 0

  • 6. Linear Inequalities - Quiz

  • 7. Permutations and Combinations - Quiz

    1. How many words of 4 consonants and 3 vowels can be formed form 6 consonants and 5 vowels
    a) 75000
    b) 756000
    c) 75600
    d) None of these

    2. The number of different words that can be formed out of the letters of the word MORADABAD taken four at a time is
    a) 500
    b) 600
    c) 620
    d) 626

  • 8. Binomial Theorem - Quiz

    1. The value of x in the expansion [x + xlog10(x)]5, if the third term in the expansion is 10,00,000
    a) 10
    b) 11
    c) 12
    d) None of these

    2. Coefficient of x11 in the expansion of (1 + x2)4(1 + x3)7(1 + x4)12 is
    a) 1051
    b) 1106
    c) 1113
    d) 1120

  • 9. Sequences and Series - Quiz

  • 10. Straight Lines - Quiz

    1. The length of perpendicular from the point (a cosα , asinα) upon the straight line y = xtanα + c, c > 0 is
    a) c cosα
    b) c sin2α
    c) c sec2α
    d) c cos2α

    2. The line joining A(bcosα, bsinα) and B(acosβ,asinβ), where a ≠ b, is produced to the point , M(x,y) so that AM : MB = b : a Then $xcos\frac{\alpha + \beta}{2} + ysin\frac{\alpha + \beta}{2}$ is equal to
    a) 0
    b) 1
    c) -1
    d) a2 + b2

  • 11. Conic Sections - Quiz

    1. Lines x + y = 1 and 3y = x + 3 intersect the ellipse x2 + 9y2 = 9 at the points P,Q,R. The area of triangle PQR is
    a) $\frac{36}{5}$
    b) $\frac{18}{5}$
    c) $\frac{9}{5}$
    d) $\frac{1}{5}$

    2. The equation of the tangent parallel to y = x drawn to $\frac{x^{2}}{3} - \frac{y^{2}}{2}$ = 1 , is
    a) x -y - 1 = 0
    b) x - y + 2 = =
    c) x + y - 1 = 0
    d) x + y + 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. 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. If the line of action of the resultant of two forces P and Q divides the angle between them in the ratio 1:2, then the magnitude of the resultant is
    a) $\frac{P^{2} + Q^{2}}{P}$
    b) $\frac{P^{2} + Q^{2}}{Q}$
    c) $\frac{P^{2} - Q^{2}}{P}$
    d) $\frac{P^{2} - Q^{2}}{Q}$

    2. A stop is dropped from an aeroplane which is rising with acceleration f and t seconds after this another stone is dropped. The distance between the two stones at time T after the second stone is dropped is
    a) $\frac{1}{2}\left (g + f \right )\left (t + T \right )t$
    b) $\frac{1}{2}\left (g + f \right )\left (t + 2T \right )t$
    c) $\frac{1}{2}\left (g + f \right )\left (2t + T \right )t$
    d) $\frac{1}{2}\left (g - f \right )\left (t + 2T \right )t$

  • 16. Probability - Quiz

  • 17. Quadratic Equation and Inequation - Quiz

    1. If b1b2 = 2(c1 + c2), then at least one of the equations x2 + b1x + c1 = 0 and x2 + b2x + c2 = has
    a) Real roots
    b) Purely imaginary roots
    c) Imaginary roots
    d) None of these

    2. Let a,b,c be real numbers a ≠ 0. If α is a root a2x2 + bx + c = 0, β is a root of a2x2 - bx - c = 0 and 0 < α < β, then the equation a2x2 + 2bx + 2c = 0 has a root γ that always satisfies
    a) γ = $\frac{\alpha + \beta}{2}$
    b) γ = α + $\frac{\beta}{2}$
    c) γ = α
    d) α < γ < β

  • 18. Progression - Quiz

    1. In the altitudes of a triangle are in A.P. , then the sides of the triangle are in
    a) A.P.
    b) H.P.
    c) G.P.
    d) Arithmetico-geometric progression

    2. If a,b,c,d are any four consecutive coefficients of any expanded bionomial, then $\frac{a + b}{a}, \frac{b + c}{b}, \frac{c + d}{c}$ are in
    a) A.P.
    b) G.P.
    c) H.P.
    d) None of these

  • 19. Exponential and Logarithmic Series - Quiz

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

    2. The sum of the series $1 + \frac{1}{4.2!} + \frac{1}{16.4!} + \frac{1}{64.6!} + ....$ and inf. Is
    a) $\frac{e - 1}{2\sqrt{e}}$
    b) $\frac{e + 1}{2\sqrt{e}}$
    c) $\frac{e - 1}{\sqrt{e}}$
    d) $\frac{e + 1}{\sqrt{e}}$

  • 20. Trigonometric Ratio, Function and Identities - Quiz

    1. If $tan\frac{\theta}{2}$ = t, then $\frac{1 - t^{2}}{1 + t^{2}}$ is equal to
    a) cosθ
    b) sinθ
    c) secθ
    d) cos2θ

    2. $sin\left (\frac{\pi}{10} \right )sin\left (\frac{3\pi}{10} \right )$ =
    a) 1/2
    b) -1/2
    c) 1/4
    d) 1

  • 21. Trigonometric Equation and Inequation - Quiz

    1. cosθ = sin2θ(θ ≠ nπ, n is interger), if θ =
    a) 450 and 600
    b) 450 and 900
    c) 450 omly
    d) 900 only

    2. In a triangle ABC, if a sinA = bsinB, then the nature of the sides of triangle is
    a) a > b
    b) a < b
    c) a = b
    d) a + b + c

  • 22. Hyperbolic Function - Quiz

    1. sin2(ix) + cosh2x is equal to
    a) 1
    b) -1
    c) 2cosh2x
    d) cosh2x

    2. sech-1(sinx) equals
    a) $logcot\frac{x}{2}$
    b) $logtan\frac{x}{2}$
    c) log cotx
    d) None of these

  • 23. Rectangular Cartesian Coordinate - Quiz

    1. The point of trisection of the line joining the point (0,3) and (6,-3) are
    a) (2,0) and (4, - 1)
    b) (2, - 1 ) and (4, - 1)
    c) (3, 1 ) and (4, - 1 )
    d) (2,1) and (4, - 1)

    2. If the three points (3q,0), (0,3p) and (1,1) are collinear, then which one is true
    a) $\frac{1}{p} - \frac{1}{q}$ = 1
    b) $\frac{1}{p} + \frac{1}{q}$ = 1
    c) $\frac{1}{p} + \frac{1}{q}$ = 3
    d) $\frac{1}{p} + \frac{3}{q}$ = 3

  • 24. Circle and System of Circle - Quiz

    1. The condition that the line x cosα + ysinα = p may touch the circle x2 + y2 = a2 is
    a) p = acosα
    b) p = a tanα
    c) p2 = a2
    d) psinα = a

    2. the area of the curve x2 + y2 = 2ax is
    a) πa2
    b) 2πa2
    c) 4πa2
    d) $\frac{1}{2}$πa2

  • 25. Pair of Straight Line - Quiz

    1. The lines represented by the equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 will be equidistant from the origin, if
    a) f2 + g2 = c(b - a)
    b) f4 + g4 = c(bf2 + ag2)
    c) f4 - g44 = c(bf2 - ag2)
    d) f2 + g2 = af2 + bg2

    2. The equation x2 + k1y2 + k2xy = 0 represents a pair of perpendicular lines, if
    a) k1 = -1
    b) k1 = 2k2
    c) 2k1 = k2
    d) None of these