Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 5 of 22

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Question number: 1

» Coordinate Geometry » Distance Formula

Appeared in Year: 2011

MCQ▾

Question

The minimum distance between a point on the curve and a point on the curve is –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 2

» Coordinate Geometry » Locus and Its Equation

Appeared in Year: 2010

MCQ▾

Question

The figure shown below is the graph of the derivative of some function.

Graph of derivative of some function y = f’(x)

Graph of Derivative of Some Function Y = F’ (X)

Figure shows the graph of the derivative of some function y = f’ (x).

Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

None of the above

Question number: 3

» Coordinate Geometry » Locus and Its Equation

Appeared in Year: 2011

MCQ▾

Question

All the points (x, y) in the plane satisfying the equation lie on –

Choices

Choice (4) Response

a.

a pair of straight lines

b.

a parabola

c.

a family of hyperbolas

d.

an ellipse

Question number: 4

» Coordinate Geometry » Parabola

Appeared in Year: 2011

MCQ▾

Question

In the xy – plane, three distinct lines concur at a point (λ, 0). Further the lines are normal to the parabola at the points respectively. Then we have –

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 5

» 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

f Page
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