Recently Active Co Ordinate Geometry Questions

Circle x2+y2=1 subtends angle θ on a varible point P such that π/3 <θ< π/2 then the area of region generated by locus of point P is: ...

Locus of the centre of the circle touching a given circle and a given straight line is a parabola y2=8x.Then (A)Centre of the given circle is (2,0) (B)If radius of the given cirlce is 2 units then given line must be the direc ...

Set of all positive values of a for which distance of vertex of y=2x2+ax+1 from x-axis is less than distance of vertex of y=-4x2+x+a from x-axis,is ...

If a variable line,drwan through the point of intersection of the straight lines 3x+2y-6=0 and 2x+2y-6,meets the x-axis and y-axis in A and B,then the locus of point P such that PB:Pa =3:1 ...

Ques 1) If C is the centre and A,B are two points on the conic 4x^{2}\ +\ 9y^{2} - 8x - 36y + 4 = 0 such that angle ACB = \pi /2 , then CA -2 + CB -2 is equals to :- (a) 13/36 (b) 36/13 (c) 16/33 (d) 33/16 Ques 2) If p and P' ...

The tangent and normal to the parabola y2=8x drwan at (2,4) intersect the line lx+y=3 at the points A and B respectively.If AB subtends a right angle at the vertex of the parabola then sum of all possible values of l is: ...

1.Find the eqn of straight line of the family (x+y)+k(2x-y+1) which is farthest from (1,-3). (ans:: 15y-6x=7) 2.A line is drawn thru (0,0) intersecting the lines 2x+y-2=0 and x-2y+2=0 @ A and B. then the locus of mid pt of AB ...

Any shortcut method to find out the length of major and minor axes of an ellipse from its standard 2nd degree equation? ...

Find the equation of the line passing through the point (2,3) and making an intercept of length 3 units between the lines y+2x=2 and y+2x=5. Plz show with steps... ...

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where can i get OFFICIAL answer to previous AIEEE papers? ...

I Cannot Prove the following: Please help me to Prove It *Image* *Image* How to Prove These Results ?? Thanks I Advance (If you solve it !!) ...

suppose one tangent is drawn to an ellipse prove that the product of its perpendicular distance from two focus is equal b2 i am unable to reach a geometric solution Pls Help ...

in which ratio the line 3x+4y+2=0 divides the distance between between 3x+4y-5=0 and 3x+4y+5=0?? ...

If the line 2x - y +1=0 touches the 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. ...

(-3,5), (3,1), (0,3) and (-1, -4) donot form a quadrilateral. ...

*Image* from arihant ,circles ...

1. A ball moving around the circular path x2+y2-2x-4y-20 = 0 in anticlockwise direction, leaves it tangentially at the point P (-2,-2), after which it rebounds from a a straight wall,and passes through the center of the circl ...

Let ABC be a triangle in which angle A = 60 degrees. Let BE and CF be the bisectors of the angles B and C, with E on AC and F on AB. Let M be the reflection of A in the line EF. Prove that M lies on BC. How do I start? ...

Q)A parabola is drawn to pass through A & B, the ends of a diameter of a given circle of of radius 'a' and to have a directrix a tangent to a concentric circle of radius 'b' the axes being AB and a perpendicular diameter. Pro ...

Find the equation of a circle which passes throught point (1,2) and touches the line y=x+3.The point (3,4) is inside the circle. ...

$Q:$\Rightarrow$ If the lines $ax^2+2hxy+by^2=0$ be two sides of a parallelogram and the line $lx+my+n=0$ be one of its diagonal , show that the eqn. of the other diagonal is $y(bl-hm)=x(am-hl)$ ...

how to find the equation of the diameter of a circle when a circle is given whose equation is x2 + y2+ 12x +6y +10 =0?? ...

a circle 'c' intersecting the ellipse x2/16 + y2/9=1 such that common chord is of max. length , and intersecting the circle x2+y2-6x-10y+9=0 orthogonally ,then number of common tangents of circle 'c' and circle x2+y2-10x-11=0 ...

A circle passes thru three pts A , B and C with line segment AC as diameter . A line passing thru A intersects the chord BC at a pt. D inside the circle. If angles DAB and CAB are α and β , respectively and the distance b/w ...

Tell me how the circumference of a circle is 2 x pi x r... here pi is in radians or its simply a constant................. i m having a silly confusion right now.. while studying Areas of sectors and segment.... ...

1) A line drawn from P(p,q) intersects the curve x^2+2hxy+by^2-1=0 at points Q and R(P not lying on th curve).If the product PQ . PR is always equal to 2,then: a)p=1, q=-1 b)p^2 + q^2 = 2 c)p=0, q=2 d)p=-1, q=1 ...

A is the point (4,0) and M is the foot of the perpendicular drawn from a point to the y-axis.If P moves such that the distances PA and PM are equal find the locus of P. I get the answer as 8x=16+y2. Am I right? If not,plz sho ...

The line joining A = ( b cosα,b sinα ) and B = ( acosβ,asinβ ) is produced to a point M(x,y) so that AM:BM = b:a. Prove that x+y tan( α+β/2 ) = 0. ...

in triangle ABC the coordinates of the vertex A are (4, -1) and the lines x-y-1=0 and 2x-y-3=0 are internal bisectors of angles B and C then , radius of incircle of triangle ABC is ...