Circles Questions

MathematicsCircles106 Questions Found

MathematicsStandard and General Equation of a CircleJEE Main 2012Easy

The length of the diameter of the circle which touches the x-axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is:

(A)

\frac{10}{3}

(B)

\frac{3}{5}

(C)

\frac{6}{5}

(D)

\frac{5}{3}

Answer:A

MathematicsStandard and General Equation of a CircleJEE Main 2013Easy

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The circle passing through $(1, - 2)$ and touching the axis of $x$ at $(3, 0)$ also passes through the point

(A)

(- 5, 2)

(B)

(2, - 5)

(C)

(5, - 2)

(D)

(- 2, 5)

Answer:C

MathematicsStandard and General Equation of a CircleJEE Main 2014Easy

View in:English Hindi

Let $C$ be the circle with centre at $(1, 1)$ and radius $= 1$ . If $T$ is the circle centred at $(0, y)$ , passing through origin and touching the circle $C$ externally, then the radius of $T$ is equal to

(A)

\frac{1}{2}

(B)

\frac{1}{4}

(C)

\frac{3}{2}

(D)

\frac{3}{4}

Answer:B

MathematicsStandard and General Equation of a CircleJEE Main 2015Easy

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The number of common tangents to the circles $x^{2} + y^{2} - 4 x - 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ , is :

(A)

(B)

(C)

(D)

Answer:A

MathematicsStandard and General Equation of a CircleJEE Main 2016Moderate

View in:English Hindi

If one of the diameters of the circle, given by the equation, $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ , is a chord of a circle $S$ , whose centre is at $(- 3, 2)$ , then the radius of $S$ is:

(A)

(B)

(C)

52

(D)

53

Answer:D

MathematicsStandard and General Equation of a CircleJEE Main 2016Moderate

View in:English Hindi

The centres of those circles which touch the circle, $x^{2} + y^{2} - 8 x - 8 y - 4 = 0$ , externally and also touch the x-axis, lie on:

(A)

a hyperbola

(B)

a parabola

(C)

a circle

(D)

an ellipse which is not a circle

Answer:B

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.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The length of the diameter of the circle which touches the x-axis at the point (1,0) and passes through the point (2,3) is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The circle passing through (1,−2) and touching the axis of x at (3,0) also passes through the point

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The number of common tangents to the circles x2+y2−4x−6y−12=0 and x2+y2+6x+18y+26=0, is :

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } If one of the diameters of the circle, given by the equation, x2+y2−4x+6y−12=0, is a chord of a circle S, whose centre is at (−3,2), then the radius of S is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x-axis, lie on:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The length of the diameter of the circle which touches the x-axis at the point (1,0) and passes through the point (2,3) is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The circle passing through (1,−2) and touching the axis of x at (3,0) also passes through the point

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The number of common tangents to the circles x2+y2−4x−6y−12=0 and x2+y2+6x+18y+26=0, is :

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } If one of the diameters of the circle, given by the equation, x2+y2−4x+6y−12=0, is a chord of a circle S, whose centre is at (−3,2), then the radius of S is:

.math-text-wrapper .katex { font-size: 1.05em !important; } .math-text-wrapper .katex-display { margin: 1rem 0 !important; } The centres of those circles which touch the circle, x2+y2−8x−8y−4=0, externally and also touch the x-axis, lie on:

The length of the diameter of the circle which touches the x-axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is:

The circle passing through $(1, - 2)$ and touching the axis of $x$ at $(3, 0)$ also passes through the point

The number of common tangents to the circles $x^{2} + y^{2} - 4 x - 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ , is :

If one of the diameters of the circle, given by the equation, $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ , is a chord of a circle $S$ , whose centre is at $(- 3, 2)$ , then the radius of $S$ is:

The centres of those circles which touch the circle, $x^{2} + y^{2} - 8 x - 8 y - 4 = 0$ , externally and also touch the x-axis, lie on:

The length of the diameter of the circle which touches the x-axis at the point $(1, 0)$ and passes through the point $(2, 3)$ is:

The circle passing through $(1, - 2)$ and touching the axis of $x$ at $(3, 0)$ also passes through the point

The number of common tangents to the circles $x^{2} + y^{2} - 4 x - 6 y - 12 = 0$ and $x^{2} + y^{2} + 6 x + 18 y + 26 = 0$ , is :

If one of the diameters of the circle, given by the equation, $x^{2} + y^{2} - 4 x + 6 y - 12 = 0$ , is a chord of a circle $S$ , whose centre is at $(- 3, 2)$ , then the radius of $S$ is:

The centres of those circles which touch the circle, $x^{2} + y^{2} - 8 x - 8 y - 4 = 0$ , externally and also touch the x-axis, lie on: