Newest Co Ordinate Geometry Questions

Find the area of the pentagon whose vertices are (4,1) (3,6) (-5,1) (-3,-3) and (-3,0) Use 1/2{ |x1 x2| + |x2 x3| +......+ |xn x1| } |y1 y2| |y2 y3| |yn y1| ...

Find the equation of a str line equally inclined to the axes and equidistant from points (1,-2) and (3,4) ...

If x-2y+4=0 and 2x+y-5=0 are sides of a isosceles triangle having area 10 sq. units.Find the equation of third side?(Note that its an right angled triangle) ...

a circle is inscribed in a equilateral triangle of side a.find the area of any square inscribed in the circle. ...

The equation of circle(s) of radius 1 & touching the circles x2 + y2 - 2|x| = 0 is ? ...

From a variable point P on y=x-3 tangents PQ& PR are drawn to the circle x2+y2 = 4 , Q' & R' r the corresponding points of Q & R on the ellipse x2/4+y2=1 in the same quadrants as Q & R The locus of the midpoint of Q' R' is an ...

A triangle the lengths of whose sides are a,b&c is placed such that the mid points of its sides are on the coordinate axes , if the equation of the plane of the triangle be x/α + y/β + z/γ=1 then (A) α = 1/2 (a2+b2+c2)/2 ...

Consider an ellipse x2/sec2a + y2/tan2 a = 1 ,0<a<pi/4 with foci S1 & S2 . Let M be a point on the y-axis such that OM = OS1 , where O is origin. Which of the following r correct? (A)M lise inside the ellipse (B) M lies ...

A rectangular Hyperbola is drawn thru the point of intersection of the circle x2+y2+2gx+2fy+c=0 & the pair of straight lines ax2 + by2+ 2hxy=0. If the hyperbola cuts x axis at A & B & the y-axis at C & D . The equation of the ...

An ellipse with axes parallel to OX & OY cuts the parabola y2 = 4x at (1,-2) & touches it at (4,4) , the coordinates of the other points of intersection is (A) (9,-6) (B) (9,6) (C) (4,-4) (D) (1,-2) ...

the coordinates of othocenter of triangle A(x1,y1),B(x2,y2),C(x3,y3) is {(x1 tanA+x2 tanB+x3 tanC)/(tanA+tanB+tanC)},{(y1 tanA+y2 tanB+y3 tanC)/(tanA+tanB+tanC)} give me the proof of it. ...

Let PQ be a chord of the ellipse x2/a2 + y2/b2 = 1 , which subtends an angle of pi/2 radians at the centre . If L is the foot of perpendicular from (0,0) to PQ , then (A) Locus of L is an ellipse (B) locus of L is circle conc ...

(1) The sum of X-coordinate of the point of Intersection of the curves x^{2}=x+y+4 and y^{2}=y-15x+36 in X-Y plane. ...

FIITJEE HCT-6 Qsn..... If a central conic is represented by the std form ax^2+2hxy+by^2=0 with the condition that tangents at any point have a constant area (=k) of the triangle that they form with the co-ordinate axes, then ...

If the orthocentre of ΔABC formed by the intersection of lines 2x + 3y - 1 = 0, x + 2y - 1 = 0 & ax + by - 1 = 0 is origin, find a, b. ...

A quadrilateral has sides 2,3,9....diagonals are at rt.angles. Find all possible values of the 4th side.... ...

(1) find total no. of Integral point that can be inside or on the circle x^{2}+y^{2}=49 ...

If Ellipse E_n is drawn such that it touches Ellipse E_{n-1} at the extremities of the major axis, and has it's foci at the extremities of the minor axis of E_{n-1} then answer the following Qsns.... 1) Eccentricity e_n of El ...

Sorry ..double post[2] ...

a parabloa y^2=4x is given.also family of lines 2ax+by+2c=0 is given where a,b,c are in AP Q1 waht is combined eqn of members of family of lines where tangents are to a give parabola Q2 if secants are drawn to above parabola ...

Q1 if y=2x-3 is a tangent to parabola y2=4a(x- 1/3 ) then a= ?? i did this way..eqn of tangent to parabola:y=mx-m/3+a/m given that y=2x-3 is tangent Comparing gives us m=2 and proceeding we get a=-14/3 but ans is given a= 2± ...

If the tangent drawn at a point (t2,2t) on the parabola y2=4x is tha same as the normal drawn at a point(√5cosφ, 2sinφ) in the ellipse 4x2+5y2=20, find the values of t & φ. ...

1) ___ let P be any moving point on the circle x2+y2-2x=1 AB be the chord of contact of this point wrt the circle x2+y2-2x=0. find the locus of the circumcenter of the traingle CAB(C being the centre of circles) P.S - give an ...

how to find the area of a equilateral tiangle inscribed in a circle. and how to find the other end of a diameter if the equation of the diameter is given and one end point is given.plz help!!! ...

From the point (2, 5) rays of light are sent at 600 with the line 2x + y = 1. Find the equations of lines of reflected rays if the rays reflect from 2x + y = 1. ...

Ques) If x/ p + y/q = 1 touches the circle x2 + y2 = a2 , then the point (1 / p , 1/q) lies on a /an (a) Straight line (b) Circle (c) Parabola (d)Ellipse ...

Find the equation of the circle of minimum radius which contains the 3 circles. x2 + y2 - 4y - 5 = 0, x2 + y2 + 12x + 4y + 31 = 0, x2 + y2 + 6x + 12y + 36 = 0, ...

Ques) A circle circumscribing an equilateral triangle with centroid (0,0) of a side a is drawn and a square is drawn touching its four sides to circle. Then find the eqn of circle circumscribing the square. ...

Evaluate Σp=132 (3p+2)[Σq=110{sin(2qΠ/11)- icos(2qΠ/11)]p ...

Sorry, the right question is:- "The sides AB & AC are bisected at right angles by the pair of straight lines y2-5xy-4x2=0. The base BC of the triangle passes through a fixed point (4,5). Here, AB, AC & BC are the sides of a t ...