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Maths-

General

Easy

Question

The Locus of centre of circle which touches given circle externally and the given line is

Parabola
Circle
Ellipse
Hyperbola

The correct answer is: Parabola

Related Questions to study

If the length of tangents from $left parenthesis a comma b right parenthesis$ to the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 5 equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 6 x minus 2 y plus 6 equals 0$ are equal then $10 a minus 2 b equals$

If the length of tangents from $left parenthesis a comma b right parenthesis$ to the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 5 equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 6 x minus 2 y plus 6 equals 0$ are equal then $10 a minus 2 b equals$

The line $2 x plus 3 y equals 1$ cuts the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ in $P$ and Q Then the equation of the smaller circle passing through $P$ and $Q$

The line $2 x plus 3 y equals 1$ cuts the circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4$ in $P$ and Q Then the equation of the smaller circle passing through $P$ and $Q$

If the angle between two equal circles with centres $left parenthesis 3 , 10 right parenthesis$ , $left parenthesis negative 5 , 4 right parenthesis blank$ is 12 $0 to the power of blank$ then the radius of the circle is

If the angle between two equal circles with centres $left parenthesis 3 , 10 right parenthesis$ , $left parenthesis negative 5 , 4 right parenthesis blank$ is 12 $0 to the power of blank$ then the radius of the circle is

parallel

The equation of the circle passing through the origin and the points of intersection of the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y minus 3 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 2 y minus 4 equals 0$

The equation of the circle passing through the origin and the points of intersection of the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y minus 3 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 2 y minus 4 equals 0$

The locus of a point such that difference of the squares of the tangents from it to two given circles is constant, is given by

The locus of a point such that difference of the squares of the tangents from it to two given circles is constant, is given by

Radical centre of the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y minus 12 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 2 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 4 equals 0$

Radical centre of the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y minus 12 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 2 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 4 x minus 6 y plus 4 equals 0$

parallel

The radical axis of circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 3 x plus 4 y minus 5$ $equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent$ ‐5x $plus 5 y minus 6 equals 0$ is

The radical axis of circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 3 x plus 4 y minus 5$ $equals 0$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent$ ‐5x $plus 5 y minus 6 equals 0$ is

If the circle $3 x to the power of 2 end exponent plus 3 y to the power of 2 end exponent plus 10 x plus y minus 27 equals 0$ bisects the circumference ofthe circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals k$ then $k to the power of 2 end exponent minus 1 equals$

If the circle $3 x to the power of 2 end exponent plus 3 y to the power of 2 end exponent plus 10 x plus y minus 27 equals 0$ bisects the circumference ofthe circle $x to the power of 2 end exponent plus y to the power of 2 end exponent equals k$ then $k to the power of 2 end exponent minus 1 equals$

Two circles of equal radii $r ´$ cut orthogonally If their centres are $left parenthesis negative 2 comma negative 3 right parenthesis blank$ and $left parenthesis negative 5 comma blank minus 6 right parenthesis$ , then $r equals$

Two circles of equal radii $r ´$ cut orthogonally If their centres are $left parenthesis negative 2 comma negative 3 right parenthesis blank$ and $left parenthesis negative 5 comma blank minus 6 right parenthesis$ , then $r equals$

parallel

The number of points such that the tangents from it to three given circles are equal in length, is

The number of points such that the tangents from it to three given circles are equal in length, is

The angle at which the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 8 x minus 2 y minus 9 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 2 x plus 8 y minus 7 equals$ $0$ intersect is

The angle at which the circles $x to the power of 2 end exponent plus y to the power of 2 end exponent plus 8 x minus 2 y minus 9 equals 0 comma$ $x to the power of 2 end exponent plus y to the power of 2 end exponent minus 2 x plus 8 y minus 7 equals$ $0$ intersect is

The eccentricity of the ellipse which meets the straight line $fraction numerator x over denominator 7 end fraction plus fraction numerator y over denominator 2 end fraction equals 1$ on the axis of X and the straight line $fraction numerator x over denominator 3 end fraction minus fraction numerator y over denominator 5 end fraction equals 1$ on the axis $o f Y$ and whose axis lie along the coordinate axes is

The eccentricity of the ellipse which meets the straight line $fraction numerator x over denominator 7 end fraction plus fraction numerator y over denominator 2 end fraction equals 1$ on the axis of X and the straight line $fraction numerator x over denominator 3 end fraction minus fraction numerator y over denominator 5 end fraction equals 1$ on the axis $o f Y$ and whose axis lie along the coordinate axes is

parallel

A point source of length S is located on a wall. A plane mirror M having length l is moving parallel to the wall with constant velocity v. The bright patch formed on the wall by reflected light will

A point source of length S is located on a wall. A plane mirror M having length l is moving parallel to the wall with constant velocity v. The bright patch formed on the wall by reflected light will

physics-General

A uniform ring is rotating about vertical axis with angular velocity $omega$ initially. A point insect (S) having the same mass as that of the ring starts walking from the lowest point P₁ and finally reaches the point P₂ (as shown in figure). The final angular velocity of the ring will be equal to

A uniform ring is rotating about vertical axis with angular velocity $omega$ initially. A point insect (S) having the same mass as that of the ring starts walking from the lowest point P₁ and finally reaches the point P₂ (as shown in figure). The final angular velocity of the ring will be equal to

physics-General

An potential energy curve U(x) is shown in the figure. What value must the mechanical energy E_mec of the particle not exceed, if the particle is to be trapped within the region shown in graph?

An potential energy curve U(x) is shown in the figure. What value must the mechanical energy E_mec of the particle not exceed, if the particle is to be trapped within the region shown in graph?

physics-General

parallel

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