List of top Mathematics Questions asked in BITSAT

Let M be a 3×3 non-singular matrix with det(M)=α. If |M⁴operatornameadj(M)|=K, then the value of K is
Tangents are drawn from the origin to the curve y=cos x. Their points of contact lie on
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
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 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 total number of 4-digit numbers in which the digits are in descending order, is
The arithmetic mean of the data 0,1,2,…,n with frequencies 1,1,1,…,1 is
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
The line which is parallel to the X-axis and crosses the curve y=√(x) at an angle 45^∘, 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 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
If fraceˣ+e⁵xe³x=a₀+a₁x+a₂x²+a₃x³+⋯ then the value of 2a₁+2³a₃+2⁵a₅+⋯ is
If g is the inverse of function f and f'(x)=sin x, then g'(x) is equal to
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
The period of tan 3θ is
The value of
\( \dfrac{3}{4} + \dfrac{15}{16} + \dfrac{63}{64} + \cdots \)
up to \( n \) terms is
The average age of 8 men is increased by 2 years when one of them whose age is 20 yr is replaced by a new man. What is the age of the new man?
If \( \omega \) is the complex cube root of unity, then the value of
\( \omega + \omega \left( \dfrac{1}{2} + \dfrac{3}{8} + \dfrac{9}{32} + \dfrac{27}{128} + \cdots \right) \) is
The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is
Evaluate limₓtₒᵢₙftyfracint₀²x x eˣ²dxe⁴x²
In order to solve the differential equation $x \cos x \frac{d y}{d x}+y(x \sin x+\cos x)=1$ the integrating factor is:
Equation of two straight lines are $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-4}{5}=\frac{y-1}{2}=z$ .Then
A bag contains $2n$ coins out of which $n-1$ are unfair with heads on both sides and the remaining are fair. One coin is picked from the bag at random and tossed. If the probability that head falls in the toss is $\frac{41}{56}$, then the number of unfair coins in the bag is