The two circles x² + y² = ax and x²+ y² = c², (c>0) touch each other if :
Anonymous Quiz
25%
|a|=c
55%
|a|=2c
20%
2|a|=c
0%
|a|=3c
👍1
A tangent is drawn to the parabola y^2 = 6x which is perpendicular to the line 2x + y =1.Which of the following points does not lie on it?
Anonymous Quiz
17%
(3, 1)
42%
(4, 5)
42%
(0, 3)
0%
(2, 4)
The equation of a common tangent to the parabolas y = x² and y = -(x-2)² is:
Anonymous Quiz
25%
y=4 (x-2)
40%
y = 4 (x-1)
35%
y=4 (x+2)
0%
y=4 (x+1)
The function f(x) = (x/2 )+ (2/x) has local minimuma at the point
Anonymous Quiz
15%
1
19%
-1
35%
2
31%
-2
The differential equation of all parabolas, whose axes are parallel to the y-axis, is:
Anonymous Quiz
21%
Y'''=0
23%
Y'''+Y''=0
33%
Y''+2Y'=0
23%
Y''=0
If a, b, c are unit vectors such that a.b = a.c = 0 and the angle between b and c is π/6' then the value of |axb - axc|is:
Anonymous Quiz
26%
0
26%
1
17%
√2
30%
√(2-√3)
If the planes x -cy-bz = 0, cx - y + az = 0 and bx + ay-z=0 pass through a line, then the value of a² + b²+c² is:
Anonymous Quiz
26%
1-2abc
26%
1
40%
2 abc
7%
abc
If the mean of square of first n natural numbers is 105, then the median of first n natural numbers is:
Anonymous Quiz
20%
7
44%
8
27%
9
9%
10
A computer company needs 25 programmers to handle systems programming jobs and 40 programmers for application programming. Of those hired, 10 will be expected to handle both types of jobs. How many programmers the company must hire ?
Anonymous Quiz
9%
45
22%
65
66%
55
3%
75
Let A = { a1, a2, a3 } and B = { b1, b2, b3 }. Consider the the function function f = {(a₁, b₂), (a₂, b₃), (a₃, b₁)}. Then :
Anonymous Quiz
72%
f is both one to one and onto
3%
f is not one to one but onto
15%
f is one to one but not onto
10%
f is neither one to one nor onto
Let P(n) be the statement 2 | (2n+1). Then :
Anonymous Quiz
17%
P(n) is true for every integer n.
8%
P(n) is true for n = 10.
12%
P(n) is true for every integer n except 10.
63%
P(n) is true implies that P(n + 1) is true for every integer n.
👍1