# Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 11 - 14 of 22

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

## Question number: 11

» Coordinate Geometry » Ellipse

Appeared in Year: 2014

MCQ▾

### Question

In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi – minor axis is , then the length of its semi – major axis is:

### Choices

Choice (4) Response

a.

3

b.

4

c.

d.

## Question number: 12

» Coordinate Geometry » Parallel and Perpendicular Lines

Appeared in Year: 2013

MCQ▾

### Question

Let be unit vectors in the plane, one each in the interior of the four quadrants. Which of the following statements is necessarily true? (Model Paper)

### Choices

Choice (4) Response

a.

b.

There exist with such is in the first quadrant

c.

There exist with such that

d.

There exist with such that

## Question number: 13

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2014

MCQ▾

### Question

Let . The locus of all points for which the line (where O is origin) cuts the line in such that is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 14

» Coordinate Geometry » Equation of a Circle

Appeared in Year: 2013

MCQ▾

### Question

Two line segments and are constrained to move along the and axes, respectively, in such a way that the points are on cyclic. If and , then the locus of the centre of the circle passing through in polar coordinates is – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page