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
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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:
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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:
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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 :
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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 :
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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
The number of seven person committees consisting of 3 women and 4 men that can be formed from a group of 20 women and 30 men, is:
Anonymous Quiz
7%
312417
17%
3124170
59%
31241700
17%
312417000