Coordinate Geometry-Distance Formula (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 3 of 3

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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 » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –

Choices

Choice (4) Response
a.

3

b.

4.5

c.

3.5

d.

4

Question number: 3

» Coordinate Geometry » Distance Formula

Appeared in Year: 2013

MCQ▾

Question

Consider a triangle PQR in the XYplane with vertices P=(0, 0),Q=(2, 3) and R=(8, 3) . The line l=a intersect line QR and line PR at point M and point N, respectively, such that the area of triangle PQR is 3times of area of triangle MNR. Therefore value of a is – (Model Paper)

Choices

Choice (4) Response
a.

473

b.

4

c.

3

d.

23

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