KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math: Questions 14 - 17 of 172

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Question number: 14

» Basic Mathematics » Arithmetic » Simplifying Expressions

Appeared in Year: 2010

MCQ▾

Question

Let f:RR be a continuous function satisfying f(x)=x+0xf(x)dx , for all xR . Then the number of elements in set S={xR;f(x)=0} is –

Choices

Choice (4) Response

a.

2

b.

1

c.

4

d.

3

Question number: 15

» Coordinate Geometry » Section Formula

Appeared in Year: 2010

MCQ▾

Question

The following figure shows the graph of a continuous function y = f (x) on the interval [1, 3]. The points A, B, C have coordinates (1, 1), (3, 2), (2, 3) respectively, and the lines L1 and L2 are parallel, with L1 being tangent to the curve at C. If the area under the graph of y = f (x) from x = 1 to x = 3 is 4 square units, then the area of the shaded region is

Graph of continuous function

Graph of Continuous Function

Figure shows the graph of a continuous function y = f (x) on the interval [1, 3]. The points A, B, C have coordinates (1, 1), (3, 2), (2, 3) respectively, and the lines are parallel, with L1 being tangent to the curve at C.

Choices

Choice (4) Response

a.

4

b.

3

c.

5

d.

2

Question number: 16

» Permutations and Combinations » Simple Applications

Appeared in Year: 2010

MCQ▾

Question

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form the vertices of an isosceles triangle is –

Choices

Choice (4) Response

a.

13

b.

37

c.

17

d.

35

Question number: 17

» Coordinate Geometry » Intercepts of a Line on Coordinate Axes

Appeared in Year: 2010

MCQ▾

Question

A circle touches the parabola y2 = 4x at (1, 2) and also touches its directrix. The y-coordinates of the point of contact of the circle and the directrix is –

Choices

Choice (4) Response

a.

4

b.

3

c.

22

d.

2

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