CIRCLE 3

CIRCLE 3

11th Grade

21 Qs

quiz-placeholder

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CIRCLE 3

CIRCLE 3

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

Created by

Swagata Biswas

Used 4+ times

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21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The angle between a pair of tangents drawn from a point P to the circle x2+y2+4x6y+9 sin2α+13cos2α=0 is 2α.x^2+y^2+4x-6y+9\ \sin^2\alpha+13\cos^2\alpha=0\ is\ 2\alpha. The equation of the locus of the point P is 

 x2+y2+4x6y+4=0x^2+y^2+4x-6y+4=0  

 x2+y2+4x6y9=0x^2+y^2+4x-6y-9=0  

 x2+y2+4x6y4=0x^2+y^2+4x-6y-4=0  

 x2+y2+4x6y+9=0x^2+y^2+4x-6y+9=0  

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Let L be a straight line through the origin and L2L_2  be the straight line x + y = 1. If the intercepts made by the circle  x2+y2x+3y=0 on L1 and L2x^2+y^2-x+3y=0\ on\ L_1\ and\ L_2  and equal, then which of the following equations can represent  L1?L_1?  


x + y = 0

x - y = 0

x + 7y = 0

x - 7y = 0

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The radius of the circle, having centre at (2,1), whose one of the chord is a diameter of the circle x2+y22x6y+6=0x^2+y^2-2x-6y+6=0  


1

2

3

 3\sqrt{3}  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

IF (-3, 2) lies on the circle  x2+y2+2gx+2fy+c=0,x^2+y^2+2gx+2fy+c=0,  which is concentric with the circle  x2+y2+6x+8y5=0,x^2+y^2+6x+8y-5=0,   the c is.

11

- 11

24

none of these

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The circle x2+y26x10y+c=0x^2+y^2-6x-10y+c=0  does not intersect or touch either axis and the point (1, 4) is inside the circle. Then the range of possible values of c is given by:


c > 9

c > 25

c > 29

25 < c < 29

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The length of the tangent drawn from any point on the circle x2+2y2+2gx + 2fy + p=0x^2+^2y^2+2gx\ +\ 2fy\ +\ p=0  to the circle  x2+y2+2gx + 2fy + q =0 is :x^2+y^2+2gx\ +\ 2fy\ +\ q\ =0\ is\ :  


 qp\sqrt{q-p}  

 pq\sqrt{p-q}  

 q+p\sqrt{q+p}  

none

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The angle between the two tangents from the origin to the circle x72+(y+1)2=25 equalsx-7^2+\left(y+1\right)^2=25\ equals  


 π4\frac{\pi}{4}  

 π3\frac{\pi}{3}  

 π2\frac{\pi}{2}  

none

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