NIMCET Parabola Previous Year Question Paper and Solution with PDF

NIMCET Previous Year Questions (PYQs) – Parabola – Page 1 of 2

A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations

NIMCET
Previous Year Questions

NIMCET
Previous Year Questions
NIMCET

Qus : 1

A point P in the first quadrant, lies on

y^{2} = 4 a x

, a > 0, and keeps a distance of 5a units from its focus. Which of the following points lies on the locus of P?

Video Solution Discussion

Qus : 2

A circle touches the x–axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is

Video Solution Discussion

Qus : 3

The two parabolas

y^{2} = 4 a (x + c)

and

y^{2} = 4 b x, a > b > 0

cannot have a common normal unless

Video Solution Discussion

Qus : 4

Coordinate of the focus of the parabola

4 y^{2} + 12 x - 20 y + 67 = 0

Video Solution Discussion

Qus : 5

An equilateral triangle is inscribed in the parabola

y^{2} = x

. One vertex of the triangle is at the vertex of the parabola. The centroid of triangle is

Video Solution Discussion

Qus : 6

An equilateral triangle is inscribed in the parabola

y^{2} = 4 a x

, such that one of the vertices of the triangle coincides with the vertex of the parabola. The length of the side of the triangle is:

Video Solution Discussion

Qus : 7

The locus of the mid points of all chords of the parabola

y^{2} = 4 x

which are drawn through its vertex, is

Video Solution Discussion

Qus : 8

x = 1

is the directrix of the parabola

y^{2} = k x - 8

, then k is:

Video Solution Discussion

Qus : 9

A normal to the curve

x^{2} = 4 y

passes through the point (1, 2). The distance of the origin from the normal is

Video Solution Discussion

Qus : 10

The equation of the tangent at any point of curve

x = a c o s 2 t, y = 2 \sqrt{2} a s i n t

with

m

as its slope is

Video Solution Discussion

NIMCET

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

NIMCET

Online Test Series,
Information About Examination,
Syllabus, Notification
and More.

Click Here to
View More

Ask Your Question or Put Your Review.

NIMCET Previous Year Questions (PYQs) – Parabola – Page 1 of 2

✓Solution

Locus of Point on Parabola

✓Solution

✓Solution

✓Solution

✓Solution

✓Solution

✓Solution

✓Solution

✓Solution

✓Solution

NIMCET

NIMCET

Info.

Confirm Delete

Edit

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution

Solution