Recently Active Co Ordinate Geometry Questions

there is a isosceles triangle inside a parabola y2=x, with one vertex (0,0), than find the length of the sides of triangle ...

A circle along with one of its diameter AB are given.There lies a point P in the plane.Construct the perpendicular to AB through P using only a ruler.(A ruler can only connect 2 points). ...

Consider 6 points located at A=(0,0),B=(0,4),C=(4,0),D=(-2,-2), E=(3,3) and F=(5,5).Let R be the region consisting of all points in the plane whose distance from A is smaller than that from any other of the given points (othe ...

The circle x2+y2+2kx=0,k belongs to R,touches the parabola y2=4x externally.Then (a)k>0 (b)k<0 (c)k>1 (d)none of these Ans is (a). i have put y2=4x in the eq.of the circle.and in the quad.of x,i put b2=4ac.i got k=-2 ...

Can someone tell me, how is the equation of a plane passing through the line of intersection of two planes u = 0 and v = 0 given by, u + ∂v = 0 where, '∂' is a scalar quantity?? ...

Find eccentricity of the conic given by the equation y= x - 1/x ? ...

@ circles are drawn thru the pts(a,5a) and (4a,a) to touch y axis.Prove that they intersect at tan-1(40/9) ...

\hspace{-16}$In a $\bf{â–³ABC}$ If $\bf{P}$ be a point which is Inside the $\bf{â–³ABC}$ such that\\\\ Area of $\bf{â–³APB=}$ Area of $\bf{â–³BPC=}$ Area of $\bf{â–³CPA}$.\\\\ Then prove that the point $\bf{P}$ is the centroi ...

For S≡9x2-24xy+16y2-20x-15y-60=0,find the equation of the axis,directrix and length of latus rectum of the parabola? ...

Can you cut a hale into a cube so that a slightly larger cube can pass through the hole? ...

If the line 2x-y+1=0 touches a circle at the point (2,5) and the centre of the circle lies on the line x+y-9=0, find the equation of the circle. ...

What will be the arrangement of 6 spheres of equal radius such that it totally covers a source of light? ...

Let 0 < a < b. Consider two circles with radii a and b and centers (a, 0) and (b, 0) respectively with 0 < a < b. Let c be the center of any circle in the crescent shaped region M between the two circles and tange ...

The equations of the common tangents to the circles x2 + y2-2x-6y+9=0 and x2+y2+6x-2y+1=0 is/are ? ...

The normal at the point (3, 4) on a circle cuts the circle at the point ( –1, –2). Then the equation of the circle is ...

If a circle, whose centre is (–1, 1) touches the straight line x + 2y + 12 = 0, then the coordinates of the point of contact are ...

If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a circle, then the radius of the circle is ...

If PSQ is the focal chord of the parabola {{y}^{2}}=8x such that SP=6 . Then the length SQ is ...

A point moves such that the sum of squares of its distances from the four sides of a square is constant;prove that it always lies on a circle. ...

What is the minimum distance between any two curves?? ...

a ray of light is coming along the line y = b from the positive direction of the x-axis and strikes a concave mirror , whose intersection with the xy-plane is a parabola y2 = 4ax . find the equation of the reflected ray and s ...

The equation of common tangent to the circle {{x}^{2}}+{{y}^{2}}=2 and parabola {{y}^{2}}=8x is ...

The points on the parabola {{y}^{2}}=12x , whose focal distance is 4, are ...

The parametric representation (2+{{t}^{2}},2t+1) represents ...

If the radical axis of circles {{x}^{2}}+{{y}^{2}}-6x-8y+p=0 and {{x}^{2}}+{{y}^{2}}-8x-6y+14=0 passes through the point (1, – 1), then p is equal to ...

The locus of the centre of circle which cuts the circles {{x}^{2}}+{{y}^{2}}+4x-6y+9=0 and {{x}^{2}}+{{y}^{2}}-4x+6y+4=0 orthogonally is ...

1)The larger of two angles made with x-axis of a straight line drawn through(1,2) so that it intersects x+y=4 at a distance 6 /3 from (1,2) is: (a)15° (b)60° (c)75° (d)105° (ans-(c)) 2)If the straight lines ax+by+c=0 and ...

A right angled triangle ABC having right angle at C.Ca=b and CB=a moves such that the angular points A and B slide along x-axis and y-axis respectively.Find the locus of C. ...

*Image* AB is a secant which intersects a circle with centre O at the points C and D such that AC=BD. From A, B two tangents AR and BS are drawn to meet the circle at the points P and Q respectively( as given in the diagram). ...

AB is a secant which intersects a circle with centre O at the points C and D such that AC=BD. From A, B two tangents AR and BS are drawn to meet the circle at the points P and Q respectively( as given in the diagram). PQ join ...