Recently Active Co Ordinate Geometry Questions

If p is the perpendicular distance of the line x/a + y/b =1 from the origin , show that 1/p2 = 1/a2 + 1/b2 ...

A NORMAL TO A PARABOLA Y2=4AX MAKES ANGLE θ WITH X AXIS WHERE TANθ=2 IF IT CUTS THE CURVE AGAIN AT AN ANGLE θ1 THEN θ1EQUALS A. 45 B. 30 C. 60 D. 90 IF X+4Y=14 IS A NORMAL TO CURVE Y2=αX3-βAT (2,3) THEN VALUE OF α+β I ...

The equation xy-x+2y-6=0 is translated into xy=c.Find c. Explain how also :) Thanks ...

If (5,12) and (24,7) are the focii of a conic passing through the origin then the eccentricity of the conic is what? ...

Prove that an infinite number of triangles can be inscribed in either of the parabolas y^2=4ax and x^2=4by whose sides touch the other ...

From any point P on the hyperbola x2/a2 - y2/b2 =1,three normals other than that at P are drawn.Find locus of the centroid of triangle formed by their feet. ...

Find locus of point of intersection of tangents drawn at the end points of a variable chord of parabola y^2=4ax ,which subtend constant angle tan^-1 b at the vertex ...

Q1.Prove that the orthocentre of the triangle formed by any three tangents to the parabola lie on the directrix. Q2.If a normal to a parabola makes an angle θ with the axis ,show that it will cut the curve again at an angle ...

For the ellipse 2x^2-2xy+4y^2-(3+root(2))=0...the inclination of major axis of it with x axis is ...

if n=1,2,3 α,β are the centroid circumcenter and orthocenter of a triangle whose sides are on y^2 = x^3 ........ prove that α1/β1 + α2/β2 + α3/β3 = 0!!!!!!!! ...

Q1. Slope of common tangent to parabolas y2 = 4ax and x2= 8y Q2.if 2y = x + 24 is atangent to the parabola y2 = 24x then its distance from parallel normal is ...

Q. The distance between two parallel lines is unity.A point "P" lies between the two lines at a distance "A" from one of them.Q & R are points selected , 1 on each line such that triangle PQR is equilateral and the side of th ...

1. Show that the point M(-3,2) outside the triangle whose sides are given by the equations x+y-4=0, 3x-7y+8=0 and 4x-y-31=0 2. One diagonal of a square is the portion of the line 7x+5y=35 intercepted by the axes. Obtain the e ...

what are direction cosines of three mutually perpendicular lines referred to as coordinate axes?????? ...

IS THERE SOME STANDARD METHOD TO DETERMINE INDEX OF NILPOTENT ...

The ends of a rod of length l moves on 2 mutually perpendicular lines.Find the locus of the point on the rod which divides it in the ratio 2:1. ...

2 points P(a.0) amd Q(-a,0) are given and R is variable point on 1 side of the line PQ such that <RPQ - <RQP is a positive constant 2θ.Show that the locus of R is --- x2-y2±2xy cot 2θ - a2 =0 ...

(x-1)2 + (y-2)2=32 && (x-5)2 - (y-6)2=-63 Find the circle of min. radius which cuts the curves orthogonally. This is quite a difficult problem !! ...

The equation of the line through the point (1,2) whose distance from the point(3,1) has the greatest possible value is?? ...

The points on the line x+y=4 which are at a unit distance from the line 4x+3y=10 are?? ...

If A(a,a),B(-a,-a) are the vertices of an equilateral triangle then its third vertex is?? ...

Equations of the straight line(s) inclined at 30° to the axis of x such that the length of its(their) line segments between the coordinate axies is 10 units is(are)?? ...

prove that the line 2x-3y+6=0 does not cut the line segment joining points (-2,-3) and (1,-2) ...

the value of p such that the vertex of y=x2+2px+13 is 4 units abovethe y-axis,is a}2 b}+ - 4 c. 3 d. -3 ...

1]A ray of light is sent along the line 2x-3y+4=0 ,upon reaching the line x+2y-7=0,the ray is reflected from it. The slope of the line containing the reflected ray is equal to A. 5 B. -18 C. -15 D. 20 2]Consider the circle c1 ...

1) (3x+4y+1)2 +(x+y+3)2= 0 represents? a) a point b) a piar of straight lines c) an ellipse d) a hyperbola 2)ammonia can be ried by:- a) conc. H2SO4 b)P4O10 c)CaO d)Anhyd. CaCl2 3)what is the degree and order of the different ...

The value of scalar triple product remains the same so long as the cyclic order of the vectors a,b,c is maintained i.e [abc]=[bca]=[cab] [abc]=-[bac] Can someone pls explain wat is meant by cyclic order? ...

1. If a = i + j + k , b = 4 i + 3 j + 4 k and c = i + a j + b k are linearly dependent vectors and |c| = 3 , then (1) a = 1, b = - 1 (2) a = 1, b = ± 1 (3) a = - 1, b = ± 1 (4) a = ± 1, b = 1 ...

The line y=3x bisects the angle between pairs of lines ax2 + 2axy + y2 = 0 if a = 1. 3 2. 11 3. 3/11 4. 11/3 ...

If the quadratic eqn ax2+bx+c=0 has -2 as one of its roots then ax + by +c =0 represents a. A family of concurrent lines b.A family of parallel lines c.A single line d. A lineperpendicular to x-axis I thought to be B But the ...