Definition of Circle
Trending Questions
Q. If x2+y2=25, then the maximum value of log5|3x+4y| is
Q. If a circle and a square have the same perimeter, then
Their areas are equal
Area of circle is larger
Area of square is larger
- None of these
Q. ax2+2y2+2bxy+2x−y+c=0 represents a circle through the origin, if
a = 0, b = 0, c = 2
- a = 2, b = 2, c = 0
- a = 2, b = 0, c = 0
- a = 1, b = 0, c = 0
Q.
If one end of the diameter is (1, 1) and other end lies on the line x+y=3, then locus of centre of circle is
- 2(x−y)=5
- 2x+2y=5
- x+y=1
- None of these
Q. The equation ax2+by2+2hxy+2gx+2fy+c=0 will represent a circle, if
- a = b ≠ 0 and h = 0
- f = g and h = 0
- f = g and c = 0
a = b = 0 and c = 0
Q. The centre of circle inscribed in square formed by the lines x2 - 8x + 12 = 0 and y2 - 14y + 45 = 0, is
(9, 4)
(7, 4)
- (4, 9)
(4, 7)
Q. A variable circle passes through the fixed point (2, 0) and touches the y-axis . Then the locus of its centre is
A circle
- A hyperbola
- A parabola
An Ellipse
Q. The centre of the circle x=−1+2 cos θ, y=3+2 sin θ, is
- (1, -3)
- (-1, 3)
- (1, 3)
- None of these
Q. The equation of the circumcircle of the triangle formed by the lines y+√3x=6, y−√3x=6, and y=0, is
- x2+y2+4x=12
- x2+y2+4x=0
- x2+y2−4y=0
- x2+y2−4y=12
Q. The area of a circle whose centre is (h, k) and radius a is
- π(h2+k2−a2)
- π(a2hk
- π(a2
- None of these