BITSAT Maths Test - 4 - JEE MCQ
30 Questions MCQ Test - BITSAT Maths Test - 4
If T₂/T₃ in the expansion of (a+b)n and T₃/T₄ in the expansion of (a+b)(n+3) are equal, then n=
The locus of mid point of the chords of the circle x2+y2-2x-6y-10=0 passing through the origin is
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Locus of the point, the sum of squares of whose distances from the points (a,0) and (-a,0) is equal to 2c2 is
Let z₁ and z₂ be two roots of the equation z2 + az + b = 0,z being complex . Further ,assume that the origin ,z₁ and z₂ form an equilateral triangle .Then
AOB is the positive quadrant of the ellipse 
, where OA = a, OB = b. The area between the arc AB and the chord AB of the ellipse is
If y=a cos (log x) + b sin (log x) where a,b are parametres, then x2y+xy'
The function f(x)=x3-3x2-24x+5 is increasing in the interval
1/(1.2.3.4) + 4/(3.4.5.6) + 9/(5.6.7.8) + 16/(7.8.9.10) + ....... ∞ =
The angle of elevation of the top of a tower from the top and bottom of a building of height 'a' are 30o and 45o respectively. If the tower and the building stand at the same level, the height of the tower is
The curve represented by x = a (cosh θ + sinh θ), y = b (cosh θ − sinh θ) is
The parabolas y2 = 4x and x2 = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S₁, S₂, S₃ are respectively the areas of these parts numbered from top to bottom; then S₁ : S₂ : S₃ is
The area of the region bounded by the curves y = |x-1| and y = 3-|x| is
If cos-1p + cos-1q+cos-1r = π, then p2 + q2 + r2 + 2pqr is equal to
The value of α for which the function f(x)=1+αx, α≠0 is the inverse of itself, is
If the traces of the matrices A and B are 20 and -8, then the trace of (A + B)=
x₁+2x₂+3x₃ = 2x₁+3x₂+x₃ = 3x₁+x₂+2x₃ = 0. This system of equation has
A cylindrical gas container is closed at the top and open at the bottom. If the iron plate of the top is 5/4 times as thick as the plate forming the cylindrical sides, the ratio of the radius to the height of the cylinder using minimum material for the same capacity is
On the parabola y2 = 8 x if one extremity of a focal chord is (1 ∕ 2, − 2) then its other extremity is
The numbers of all words formed from the letters of the word CALCUTTA is
How many words can be formed from the letters of the word COMMITTEE?
Three identical dice are rolled. The probability that the same number will appear on each of them is
Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is
If two angles of a Δ A B C are 45o and 600then the ratio of the smallest and the greatest sides are
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