Circles Test

Result

Circles Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The locus of the centre of a circle which cuts off intercepts of length 2a and 2b from x-axis and y-axis respectively, is

A
x + y = a + b

B
x² + y² = a² + b²

C
x² – y² = a² – b²

D
x² + y² = a² – b²
Question 2
1 / -0

Two perpendicular tangents to the circle x²+y²=r² meet at P. The locus of P is

A
x²+y2=r^2\2

B
x²+y²=2r²

C
x²+y²=4r²

D
x + y = r

Solution

locus of P is a circle with centre at origin and radius √2r².This is known as the director circle of the circle x²+y²=r²
Question 3
1 / -0

If (x-a)²+ (y-b)² = c² represents a circle, then

A
a = 0

B
c ≠ 0

C
b = 0

D
a = b = 0

Solution

(x-a)² + (y-b)² = c² here (a,b) is center and c is the radius

and radius cannot be zero because if radius is zero it will become a point or degenerate circle so c≠0.
Question 4
1 / -0

The area of the circle in which a chord of length √2 makes an angle π/2 at the centre is

A
π/2

B
2^π

C
π

D
π/4
Question 5
1 / -0

Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is

A
(3, 0)

B
( 3, 2)

C
(2, 0)

D
(0, 3)

Solution

circumcentre of a right angled triangle ABC right angled at A is b+c/2 as circumcentre of right angled triangle lies on the mid pont of the hypotenuse.

so mid point of BC=(6+0/2,0+4/2) i.e.(3,2)
Question 6
1 / -0

The director circle is the locus of the point of intersection of

A
perpendicular tangents

B
normals

C
bisectors of parallel chords

D
None of these
Question 7
1 / -0

The area of the circle with centre at (1, 2) and passing through (4, 6) is

A
5π

B
10π

C
25π

D
None of these
Question 8
1 / -0

What will be the locus of point whose distance from the point (–g, –f) is always 'a'? (Given k = g² + f² – a²)

A
x² + y² + 2gx + 2fy + k = 0

B
x² – y² + 2gx + 2fy + k = 0

C
x² + y² + 2xy + 2gx + 2fy + k = 0

D
None of these

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Circles Test - 1

Result

Circles Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

x + y = a + b

x2 + y2 = a2 + b2

x2 – y2 = a2 – b2

x2 + y2 = a2 – b2

Question 2

x2+y2=r2\2

x2+y2=2r2

x2+y2=4r2

x + y = r

Solution

Question 3

a = 0

c ≠ 0

b = 0

a = b = 0

Solution

Question 4

π/2

2π

π

π/4

Question 5

(3, 0)

( 3, 2)

(2, 0)

(0, 3)

Solution

Question 6

perpendicular tangents

normals

bisectors of parallel chords

None of these

Question 7

5π

10π

25π

None of these

Question 8

x2 + y2 + 2gx + 2fy + k = 0

x2 – y2 + 2gx + 2fy + k = 0

x2 + y2 + 2xy + 2gx + 2fy + k = 0

None of these

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

x² + y² = a² + b²

x² – y² = a² – b²

x² + y² = a² – b²

x²+y2=r^2\2

x²+y²=2r²

x²+y²=4r²

2^π

x² + y² + 2gx + 2fy + k = 0

x² – y² + 2gx + 2fy + k = 0

x² + y² + 2xy + 2gx + 2fy + k = 0