List of top Questions asked in BITSAT- 2020

The line joining (5,0) to (10cosθ,10sinθ) is divided internally in the ratio 2:3 at point P. If θ varies, the locus of P is
The equation x²-2√(3)xy+3y²-3√(3)y-4=0 represents
A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and then passes through the point (5,3). The coordinates of point A is
The locus of the point of intersection of two tangents to the parabola y²=4ax which are at right angle to one another is
The parabola having its focus at (3,2) and directrix along the y-axis has its vertex at
If z₁=\sqrt3+i\sqrt3 and z₂=\sqrt3+i, then the complex number ((z₁)/(z₂))⁵0 lies in the
The length of the chord x+y=3 intercepted by the circle x²+y²-2x-2y-2=0 is
The lengths of the tangents drawn from any point on the circle 15x²+15y²-48x+64y=0 to the circles 5x²+5y²-24x+32y+75=0 and 5x²+5y²-48x+64y+300=0 are in the ratio of
The number of integral values of λ for which x²+y²+λ x+(1-λ)y+5=0 is the equation of a circle whose radius cannot exceed 5, is
Match List I with List II and select the correct answer using the code given below the lists. List I • [(A)] f(x)=cos x • [(B)] f(x)=ln x • [(C)] f(x)=x²-5x+4.3 • [(D)] f(x)=eˣ List II • [1.] The graph cuts y-axis in infinite number of points • [2.] The graph cuts x-axis in two points • [3.] The graph cuts y-axis in only one point • [4.] The graph cuts x-axis in only one point • [5.] The graph cuts x-axis in infinite number of points
For any differentiable function y of x, (d²x)/(dy²)((dy)/(dx))³+(d²y)/(dx²)=
The number of points at which the function f(x)=(1)/(log|x|) is discontinuous is
If f(x)= begincases (xlog(cos x))/(log(1+x²)), & x≠0
0, & x=0 endcases then f(x) is
If the sum of odd-numbered terms and even-numbered terms in the expansion of (x+a)ⁿ are A and B respectively, then the value of (x²-a²)ⁿ is
All the words that can be formed using alphabets A, H, L, U and R are written as in a dictionary (no alphabet is repeated). The rank of the word RAHUL is
The number of real roots of the equation 3⁹C₃r-1-3⁹Cᵣ²=3⁹Cᵣ²-1-3⁹C₃r is
If the third term in the expansion of [x+x\log_¹⁰ˣ]⁵ is 10⁶, then x may be
If sumᵣ=0ⁿ(r+2)/(r+1)ⁿCᵣ=(2ⁿ-1)/(6), then n=
If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of eleven steps he is one step away from the starting point is
The general solution of the equation sin 2x + 2sin x + 2cos x +1 =0 is:
If sin x=cot(tan x), then sin 2x is equal to:
If sintheta₁+sintheta₂+sintheta₃=3, then costheta₁+costheta₂+costheta₃=
If A and B are positive acute angles satisfying 3cos²A+2cos²B=4 and (3sin A)/(sin B)=(2cos B)/(cos A), then the value of A+2B is equal to:
If sin⁻1((2a)/(1+a²)) -cos⁻1((1-b²)/(1+b²)) =tan⁻1((2x)/(1-x²)), then what is the value of x?