Coordinate Geometry-Parabola (KVPY Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 3 of 3

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Question number: 1

» 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: 2

» Coordinate Geometry » Parabola

Appeared in Year: 2015

MCQ▾

Question

The number of ordered pairs (x,y) of real numbers that satisfy the simulation equations x+y2=x2+y=12 is –

Choices

Choice (4) Response

a.

4

b.

0

c.

2

d.

1

Question number: 3

» Coordinate Geometry » Parabola

Appeared in Year: 2016

MCQ▾

Question

Suppose the parabola (yk)2=4(xh) , with vertex A , passes through O=(0, 0) and L=(0,2) . Let D be an end point of the latus rectum. Let the yaxis intersect the axis of the parabola at P . Then PDA is equal to –

Choices

Choice (4) Response

a.

tan1219

b.

tan1419

c.

tan1819

d.

tan1119

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