Recently Active Co Ordinate Geometry Questions

Ques) If Ck is a circle of eqn x2 + y2 = k2 ; k belongs to N, a point moves k units on Ck in anticlockwise direction then goes to C k+1 and so on. If point starts frm (1,0) and Ist time crosses the +ve x-axis on circle Cn , t ...

Multi answer Q. Consider a curve 13[(x-2)2+(y-3)2] = (2x+3y-5)2. Tangents are drawn from (1,1) to this curve. If a conic S=0 having eccentricity half the eccentricity of the conic xy+x+y=0 always touches above tangents then t ...

The area that is outside the square |x| + |y| ≤1 and inside the circle x^2 + y^2 =1, is given by: (a) Π- 3 (b) Π- 2.5 (c)Π- 1 (d)Π- 2 ...

Ques) The equation (x2-a2) 2 + (y2-b2) 2 = 0 represents points (a) which are collinear (b) which lie on a circle with centre at (0,0) (c) which lie on a circle with centre at (a,b) (d) none of the above ...

what is the equation of circle which pass thrugh the points A(-1,4), B(1,2) and which touch the line 3x-y-3=0???? ...

locus of center of circle which touches (x+2)^2 + y^2 =4 nd (x-1)^2 + y^2=1 externally. let A is d vertex of its locus. An isosceles triangle is constructed such dat its vertex is at A nd base touches d circle. what is d area ...

if the circle C1 touches x-axis and the line y = x tanθ (tan θ >0) in frist quadrant and circle C2 touches the line y = x tan θ, y - axis and circle C1 in such a way that ratio of radius of C1 and C2 is 2:1 then the val ...

A is a point on circumference of a circle, chords AB and AC divide circle area in three equal parts, f(x)=0 is an equation whose root is angle BAC, then f(x) is equal (A) x-sinx+ \pi /3 (B) x+sinx+ \pi /3 (C) 2[x-sinx+ \pi /3 ...

A circle of radius 5 units has diameter along the angle bisector of the lines x+y = 2 and x - y = 2. If chord of contact from origin makes an angle of 45° with the positive direction of x axis then the equation of the circle ...

Ques) If A (1,2) ; B (3,4) and C (x,y) be a point such that (x-1) (x-3) + (y-2) (y-4) = 0. If areas of triangle ABC =1 then the max no. of positions of C in XY plane is (a) 4 (b) 3 (c) 2 (d) none ...

if two lines represented by the eq ax3 +bx2y+cxy2+dy3=0 are at right angles then a2+d2 +ac+bd is equal to a)-1 b) 0 c)1 d). ab +cd ...

I have solved this question...but still cant understand the geometry of this ques.....plz help me with that... Q Prove that in ellipse the perpendicular from focus upon any tangent and hte line joining teh centre of ellipse t ...

A straight line intersects equilateral triangle of unit length,dividing it into two parts S1 and S2 having equal perimeter having area A1 and A2.FIND max value of(A1/A2) AND min value of (A1/A2). ...

The locus of the centre of a circle which cuts the parabola y2 = 4x orthogonally at (1, 2) will pass through the point 1. (3, 4) 2. (4, 3) 3. (5, 3) 4. (2, 4) ...

Find the condition that the straight line cx-by+b^{2}=0 may touch the circle x^{2}+y^{2}=ax+by and find the point of contact. ...

The orthogonal trajectory of x2 + y2 = a2 , where'a' is arbitrary constant is a circle. IS THE STATEMENT RIGHT??????? ...

Ques) If a,b,c are in A.P, then ax +by +c =0 represents : (a)a straight line (b) a family of concurrent lines (c) a family of parallel lines (d) none of these ...

Find the locus of intersection of 2 circles(equal) which are described on 2 sides EF and EG of a triangles as chords in a rectangular hyperbola whose centre is middle point of FG and which passes through E,F,G ...

please explain what does max { |x| , |y| } ≤ 4 . stand for in the foll ques????? Cosnider the region R which is enclosed by the curve y ≥ √ 1 - x2 and max { |x| , |y| } ≤ 4 . The slope of a family of lines defined as ...

Two straight lines cut the axis of x at distances a and -a and the axis of y at distances b and b° respectively; find the coordinates of their point of intersection. Ans:- { a(b-b°)/(b+b°) , 2bb°/(b+b°) } From: S.L.Loney ...

STRAIGHT LINES 1 ) Find the area of the triangle formed by the straight lines whose equations are x+2y-5=0; 2x+y-7=0 and x-y+1=0 withought determining the coordinates of the vertices of the triangle. Also compute the tangent ...

Q. Of the two concentric circles the smaller one has the equation x2+y2=4. If each of the two intercepts on the line x+y=2 made between the two circles is 1, find the equation of the larger circle. just want the answer ...

15. Equation of a line is given by y+2at=t(x-at2), t being the parameter. Find the locus of the point of intersection of the lines which are at right angles. 16.The ends A,B of a strait line line segment of a constant length ...

A parabola is drawn touching the axis of x at the origin & having its vertex at a given distance k,from the axis. P.T the axis of the parabola of the parabola is a tangent to the parabola --- x2=-8k(y-2k) ...

The coordinates of the extremities of a rod are A(1,2) and B(3,4). S(0,0) is the source of light. The rod AB is parallel to the wall and is midway betwen the point source of light and the wall. CD is the shadow of AB on the w ...

5. Find the equation of the straight lines passing through (-2,-7) &having an intercept of length 3 between the straight lines 4x+3y=12, 4x+3y=3. 7. Two sides of a rhombous ABCD are parallel to the lines Y=x+2 & y=7x+3. If th ...

prove that the orthocentre of triangle ABC with A(x1,y1) , B(x2,y2) and C(x3,y3) is H( \sum{} x1tan A/ \sum{} tan A , \sum{} y1tan A/ \sum{} tan A) ...

C I R C L E S 1 ) A circle S = 0 is drawn with its centre at (-1.1) so as to touch the circle x2 + y2 - 4x + 6y -3 = 0 externally. Find the intercept made by the circle on the coord axes ? ...

ABCD is square having its centre ai the origin. If A is(x,y), find the remaining vertices. By a suitable translation of axes or otherwise, find the vertices of the square two of whose opposite vertices are(4,5) and (-2,-3). ...

The equation of ellipse is (x-1)^2+(y-2)^2=\frac{1}{9}(\frac{3x+4y-5}{5})^2 Then find the length of minor axis of ellipse . ...