Coordinate Geometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) 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 y=ex and a point on the curve y=logex is –

Choices

Choice (4) Response

a.

12

b.

22

c.

2

d.

3

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 y=f(x) .

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 x2+2xsin(xy)+1=0 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 l1,l2,l3 concur at a point (λ, 0). Further the lines l1,l2,l3 are normal to the parabola y2=6x at the points A=(x1,y1),B=(x2,y2),C=(x3,y3) respectively. Then we have –

Choices

Choice (4) Response

a.

λ>3

b.

5<λ<3

c.

λ<5

d.

0<λ<3

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

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