# Coordinate Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 5 - 9 of 14

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## Question number: 5

» Coordinate Geometry » Conic Sections

MCQ▾

### Question

The diameter of one of the bases of a truncated cone is 400 mm. If the diameter of this base is increased by 25 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 25%. The radius of the other base (in mm) is-

### Choices

Choice (4) Response

a.

90

b.

80

c.

100

d.

70

## Question number: 6

» Coordinate Geometry » Conic Sections

Appeared in Year: 2011

MCQ▾

### Question

The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by 21 % such that it still remains a truncated cone with the height and the other base unchanged, the volume also increases by 21%. The radius of the other base (in mm) is

### Choices

Choice (4) Response

a.

35

b.

65

c.

45

d.

55

## Question number: 7

» Coordinate Geometry » Equations of Internal and External Bisectors of Angles

MCQ▾

### Question

PQR be a triangle with ∠ Q = 90 0. Let PS be the bisector of ∠ P with S on QR. Suppose PR = 5 cm, length of the SR is 2 cm, and the area of the triangle PQS is 10 cm 2. Then the length of PQ in cm is equal to

### Choices

Choice (4) Response

a.

10

b.

7

c.

15

d.

5

## Question number: 8

» Coordinate Geometry » Circles

Appeared in Year: 2011

MCQ▾

### Question

Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is

### Choices

Choice (4) Response

a.

b.

4

c.

d.

## Question number: 9

» Coordinate Geometry » Circles

Appeared in Year: 2013

MCQ▾

### Question

Tangents to a circle at points P and Q on the circle intersect at a point R. If PQ = 6 and PR = 5 then the radius of the circle is

### Choices

Choice (4) Response

a.

b.

c.

d.

4

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