C is the centre of the circle with centr...

C is the centre of the circle with centre `(0,1)` and radius unity. `y=ax^2` is a parabola. The set of the values of `'a'` for which they meet at a point other than the origin, is

`(0,infty)`

`(0,1/2)`

`(1/4,1/2)`

`(1/2,infty)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PARABOLA
ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|24 Videos
PARABOLA
ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos
PAIR OF STRAIGHT LINES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
PERMUTATIONS AND COMBINATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of the circle described on any focal chord of the parabola y^(2)=4ax as the diameter is

Two circles with centres C_(1),C_(2) and same radius r cut each other orthogonally,then r is

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 (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

Find the centre and radius of the circles : x^2 + y^2 - ax - by = 0

Find the radius and centre of the circle of the circle x^(2) + y^(2) + 2x + 4y -1=0 .

A square OABC is formed by line pairs xy=0 and xy+1=x+y where o is the origin .A circle with circle C_(1) inside the square is drawn to touch the line pair xy=0 and another circle with centre C_(2) and radius twice that C_(1) is drawn touch the circle C_(1) and the other line . The radius of the circle with centre C_(1)

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)

If the normals to the parabola y^2=4a x at P meets the curve again at ...
Text Solution
|
If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be...
Text Solution
|
Length of the shortest normal chord of the parabola y^2=4ax is
Text Solution
|
The largest value of a for which the circle x^2 +y^2 = a^2 falls total...
Text Solution
|
From a point (sintheta,costheta), if three normals can be drawn to the...
Text Solution
|
If two different tangents of y^2=4x are the normals to x^2=4b y , then
Text Solution
|
The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...
Text Solution
|
Normals at two points (x1,x2) and (x2,y2) of the parabola y^2=4x meet ...
Text Solution
|
A line is drawn from A(-2,0) to intersect the curve y^2 = 4x in P and ...
Text Solution
|
An equilateral triangle SAB in inscribed in the parabola y^2 = 4ax hav...
Text Solution
|
C is the centre of the circle with centre (0,1) and radius unity. y=ax...
Text Solution
|
Let S be the focus of y^2=4x and a point P be moving on the curve such...
Text Solution
|
If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...
Text Solution
|
Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...
Text Solution
|
Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...
Text Solution
|
A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...
Text Solution
|
If the fourth term in the expansion of (px+1/x)^n is 5/2, then (n,p)...
Text Solution
|
The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...
Text Solution
|
The tangent to the parabola y=x^2 has been drawn so that the abscissa ...
Text Solution
|
if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...
Text Solution
|