Recently Active Co Ordinate Geometry Questions

IF a point moves such that twice its distance from axis of x exceeds its distance from axis of y by 2,then its locus is ...

Note : The question is NOT incorrect A and B are 2 points 30 m apart in a line on the horizontal plane through the foot of a tower lying on opposite sides of the tower,If the distances of the tower from A and B are 20 m and 1 ...

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Given a circle with center at ' A ' which touches the X - Axis at ' B ' with radius 1 unit. ' C ' is the origin from which a tangent at ' E ' is drawn to me line through ' AB ' at ' D ' such that angle ' CBD ' = 90°. The per ...

P (5,3) . R lies on y=x and Q lies on x axis. what is the co-ordinate of Q so that PR+PQ+QR is minimum? ...

Wen we r given to find the equation of a circle thru three given points, we go by the family approach..we tend to form the equation of the circle taking the first two points as the end point of the diameter nd den form a stra ...

Tangents drawn from the point P(3,8) to the circle x^2+y^2-6x-4y-11=0 touches the circle at the point A and B . Then equation of circumcircle of a Triangle PAB is I have a doubt:: why PO act as a diameter for Circumcenter of ...

1)A(2,5),B(-1,3), and C(5,-1) are the vertices of a triangle. The image of the point (1,2) with respect to the median through A is 2)Equation of the circle passing through (0,0),(4,3) and (-3,4) is 3)The points (5,-4,2),(4,-3 ...

C1,C2 and C3 are 3 tangent circles, these circle tangent to a line too. If the radius of C1 is 9 and radius of C2 is 4. Find the raduis of c3. ...

will any one explain me the topic chord of contact of a circle...?? ...

will any one explain me the topic chord of contact of a circle...?? ...

find the equation to the circle which touches the y-axis at origin and passes through the point (a,b). ...

find the eq. to the circle which touches the x-axis , passes through the pt.(1,1)&whose centre lies in the first quadrant on the line x+y=3 . ...

\hspace{-16}$Find Max. and Min. value of $\mathbf{\frac{y}{x}}$\\\\ If $\mathbf{(x-3)^2+(y-3)^2=6}$ ...

A parabola passes through the points A and B. The ends of a diameter of a given circle of radius ' a '. A tangent to the concentric circle of radius ' b ' is the directrix of parabola. Q. If AB and the perpendicular diameter ...

The equation of the straight line which bisects the intercepts made by the axes on the lines x+y=2 and 2x+3y=6 is : I'm getting answer:4x+5y=10. Answer is y=1. Please explain how you solved it! ...

1) What is the smallest distance between the point(-2,-2) and a point on the circumference of the circle given by (x - 1)2 + (y - 2)2 = 4? A) 3 B) 4 C) 5 D) 6 E) 7 2)Find a negative value of k so that the graph of y = x2 - 2x ...

If the graph of xy = 1 is reflected in the graph of y =2x to give the graph of 12x^2+rxy+sy^2+t=0 , where r,s,t are some constant. Determine them. ...

Q.1) Find the locus of the centre of a circle which touches a fixed line and a fixed circle. Q.2) Find the slope of the directrix of a Parabola which passes through (1,2) and (3,4) and tangents at these points intersect at (6 ...

number of points having integral co-ordinates and satisfying x2+y2≤5 is 1. 14 2. 21 3. 20 4. none of these please give a detailed solution. P.S.- nishant sir, i want a solution to this asap. ...

frnds,help me out. Q. the values of α for which the pt. (α - 1, α + 1) lies in the larger segment of the circle x2 + y2 - x - y - 6 = 0 made by the chord whose eqn is x + y - 2 =0 are options- (A) ( -1,1) (b) [-1,1] (c) [ ...

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

prove this... The angle between the two focal radii in a parabola y2 = 4ax is double the angle between the tangents drawn from their end points. ...

show that the semi-latus rectum of the parabola y2 = 4ax is the harmonic mean between the segments of any focal chord. ...

nishant sir could you please provide some link or source from where we can study geometry which helps solve coordinate . ...

find the focii,eccentricity and directrices of the conic 7x2+7y2+2xy+10x-10y+7=0.is there any sort cut method to the above question?? ...

y = x2 + ax + 1 is a parabola. its tangent @ the point of intersection at the y axis also touches the circle x2 + y2 = r2 . given tht no point of the parabola is below the y axis. find maximum value of 'r' ...

\dpi{120} \hspace{-16}(1)::\; $Find acute Angle b/w 2 -Curves $\mathbf{C_{1}:x^2+y^2=8}$ and $\mathbf{C_{2}:x^2+y^2=4x}$.\\\\ (2)::\;Find Least distance b/w the curves $\mathbf{xy=9}$ and $\mathbf{x^2+y^2=1}$. ...

how to find shortest distance between 2 parabolas, 2y2 = 2x-1 and 2x2=2y-1 .. i kind of know how to do this but having some problem in solving it.. can some1 pls solve it completely for me.. my approach: we have to find 2 lin ...

the largest value of a for which the circle x2+y2 = a2 lies completely inside the parabola y2 = 4(x+4) ...