Maths-
General
Easy
Question
The locus of the centre of a circle which cuts orthogonally the parabola 
will pass through point
- (2,4)
- (4,3)
- (5,3)
- (3,4)
The correct answer is: (3,4)
The centre of such circle must lies on the tangent at (1, 2) of the parabola 
which is y = x + 1
Related Questions to study
Maths-
Consider the parabola 
Let P=(a,b) be any fixed point inside the parabola and let S be the focus of the parabola. Then the minimum value of SQ + PQ as point Q moves on the parabola is
Consider the parabola Let P=(a,b) be any fixed point inside the parabola and let S be the focus of the parabola. Then the minimum value of SQ + PQ as point Q moves on the parabola is
Maths-General
Physics-
An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is :
An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is :
Physics-General
Physics-
Assertion: The binding energy of a satellite does not depend upon the mass of the satellite.
Reason : Binding energy is the negative value of total energy of satellite.
Assertion: The binding energy of a satellite does not depend upon the mass of the satellite.
Reason : Binding energy is the negative value of total energy of satellite.
Physics-General
Physics-
Assertion: There is no effect of rotation of earth on acceleration due to gravity at poles.
Reason : Rotation of earth is about polar axis.
Assertion: There is no effect of rotation of earth on acceleration due to gravity at poles.
Reason : Rotation of earth is about polar axis.
Physics-General
Physics-
What does not change in the field of central force
What does not change in the field of central force
Physics-General
physics-
The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will be maximum at the point-
The earth E moves in an elliptical orbit with the sun S at one of the foci as shown in figure. Its speed of motion will be maximum at the point-
physics-General
Physics-
Kepler’s second law regarding constancy of aerial velocity of a planet is a consequence of the law of conservation of-
Kepler’s second law regarding constancy of aerial velocity of a planet is a consequence of the law of conservation of-
Physics-General
Physics-
A geo-stationary satellite is orbiting the earth at a height of 6R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5R from the surface of earth is :
A geo-stationary satellite is orbiting the earth at a height of 6R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5R from the surface of earth is :
Physics-General
Physics-
Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3V, the speed of the satellite B will be.
Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the speed of the satellite A is 3V, the speed of the satellite B will be.
Physics-General
Physics-
The escape velocity of a projectile from the earth is approximately-
The escape velocity of a projectile from the earth is approximately-
Physics-General
Maths-
If 
is the circumcircle of the triangle formed by three tangents to the parabola 
then radius of the circle is
If is the circumcircle of the triangle formed by three tangents to the parabola then radius of the circle is
Maths-General
Maths-
A line bisecting the ordinate PN of a point 
on the parabola 
is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are
A line bisecting the ordinate PN of a point on the parabola is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are
Maths-General
Maths-
Three normals drawn from any point to the parabola y2 = 4ax cut the line x = 2a in points whose ordinates are in arithmetical progression. Then the tangents of the angles which the normals make the axis of the parabola are in :
Three normals drawn from any point to the parabola y2 = 4ax cut the line x = 2a in points whose ordinates are in arithmetical progression. Then the tangents of the angles which the normals make the axis of the parabola are in :
Maths-General
Maths-
PQ is a normal chord of the parabola y2 = 4ax at P, A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is :
PQ is a normal chord of the parabola y2 = 4ax at P, A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is :
Maths-General
Physics-
The particle A is converted to C via following reactions then
The particle A is converted to C via following reactions then
Physics-General
