Mathematics Test 85

Result

Mathematics Test 85

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

If θ denotes the acute angle between the curves, y = 10 – x² and y = 2 + x² at a point of their intersection, then |tan θ| is equal to :

A
4/9

B
7/17

C
8/17

D
8/15
Question 2
4 / -1

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x² such that the rectangle lies inside the parabola, is :-

A
20 √2

B
18 √3

C
32

D
36
Question 3
4 / -1

The maximum volume (in cu. m) of the right circular cone having slant height 3m is :

A
3 √3

B
6 π

C
2 √3π

D
4/3 π
Question 4
4 / -1

A circle with centre at (15, –3) is tangent to y = x²/3 at a point in the first quadrant. The radius of the circle is equal to

A
5 √6

B
8 √3

C
9 √2

D
6 √5
Question 5
4 / -1

When 0 ≤ x ≤ 1, f(x) = |x| + |x – 1| is-

A
strictly increasing

B
strictly decreasing

C
constant

D
None of these