List of top Questions asked in BITSAT

If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
If limₓtₒᵢₙfty xsin((1)/(x))=A and limₓ\to0 xsin((1)/(x))=B, then which one of the following is correct?
If \( 0 < x < \dfrac{\pi}{2} \), then
If y=x+√(1+x²), then (1+x²)dfracd²ydx²+x(dy)/(dx) is
The eccentricity of an ellipse, with its centre at the origin, is \dfrac12. If one of the directrices is x=4, then the equation of the ellipse is
A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that they are of different colours is
The slope of the tangent to the curve y=eˣcos x is minimum at x=α,0≤α\le2π. The value of α is
The number of real roots of the equation eˣ-1+x-2=0 is
Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
Let M be a 3×3 non-singular matrix with det(M)=α. If |M⁴operatornameadj(M)|=K, then the value of K is
The line which is parallel to the X-axis and crosses the curve y=√(x) at an angle 45^∘, is
The total number of 4-digit numbers in which the digits are in descending order, is
The mean square deviation of a set of n observations about points -2 and 2 are 18 and 10 respectively. The standard deviation of the set is
The arithmetic mean of the data 0,1,2,…,n with frequencies 1,1,1,…,1 is
In a △ ABC, the lengths of the two larger sides are 10 and 9 units, respectively. If the angles are in A.P., then the length of the third side can be
Let S be the common focus of the circle x²+y²-2x-4y=0 and the parabola y²=8x. The area of quadrilateral APQS is
If fraceˣ+e⁵xe³x=a₀+a₁x+a₂x²+a₃x³+⋯ then the value of 2a₁+2³a₃+2⁵a₅+⋯ is
Let a, b, c be three vectors satisfying a × b = ( a × c), | a|=| c|=1, | b|=4 and | b × c|=√(15). If a · b = ?, then λ equals
The value of
\( \dfrac{3}{4} + \dfrac{15}{16} + \dfrac{63}{64} + \cdots \)
up to \( n \) terms is
If φ(x) is a differentiable function, then the solution of the differential equation dy+yφ'(x)-φ(x)φ'(x)dx=0 is
A bag contains (2n+1) coins. It is known that n of these coins have a head on both sides, whereas the remaining (n+1) coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is (31)/(42), then n is equal to
If g is the inverse of function f and f'(x)=sin x, then g'(x) is equal to
The period of tan 3θ is
The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is
Shikha is mother-in-law of Ekta who is sister-in-law of Ankit. Pankaj is father of Sanjay, the only brother of Ankit. How is Shikha related to Ankit?