BITSAT Sample Questions - Mathematics
Q1. If I(x) = (a-xn)n, when a > 0, and n e N, then fo f(x) is equal to:
a) a
b) x
c) xn
d) an
Q2. Let a, b, c are in G.P of common ratio, r, 0<r<f. If a, 2b, 3c form an A.P., then r equals:
a) 1/2
b) 1/3
c) 2/3
d) none of these
Q3. If A (1, 2, 3, 4), then which of the following are functions from A to itself?
a) f1 = {(x,y)}[y=x+1}
b) f1 = {(x,y)}[x+y>4}
c) f3 = {(x,y)}}[y<x)
d) f4 = {(x,y)}{x+y=5}
Q4. The curve represented by lm (z2) = k, where k is a non-zero real number, is a:-
a) circle
b) ellipse
c) parabola
d) hyperbola
Q5. If the algebraic sum of the perpendicular distance from point (2,0), (0,2), and (1,1) to a variable line be zero, then it pass through the point:
a) (-1,1)
b) (1,1)
c) (1,-1)
d) (-1,-1)