Recently Active Co Ordinate Geometry Questions

The line joining A(b cosα , b sinα) and B( a cosβ,a sinβ) is produced to point M(x,y) so that AM:MB = b:a, then what's the value of x cos α+β/2 + y sin α+β/2 ???? ...

By using the concept of slope, prove that the diagonals of a rhombus are at right angles. ...

we know that the centroid of an isocelous triangle is also the centre of the circle circumscribing it. So if it is so then we can't draw two different isocelous triangles inside a circle with different centroids. ...

for 2 circles to intersect in 2 distinct points prove that |r1 - r2| < c1c2 .. ...

IF A= ( 3,4 ) AND B IS VARIABLE POINT ON THE LINES X= 6 . IF AB ≤4 THEN THE NUMBER OF POSITIONS OF B WITH INTEGRAL CO-ORDINATES IS a. 5 b.6 c.10 d.12 ...

1. Find the equation of the cirlce whose centre is (3,-1) and which cuts off an intercept of length 6 from the line 2x - 5y + 18 = 0 first of all what is meant by "which cuts off an intercept of length 6 from the the line 2x ...

Q. Two sides of a rhombus ABCD are parallel to y = x + 2 and y = 7x + 3. If the diagonals of the rhombus intersect at (1,2) and the vertex A is on the y axis, find the possible co-ordinates of A. My soln- let A be (0,h). Also ...

Let ABC be the triangle formed by intersection of the lines x-y=0 , y=0 and 7x+y = 56. Find the minimum possible perimeter of the family of triangles inscribed in ABC. ...

if (9,23) and (49,53) are the 2 focii of an ellipse. and x- axis is tangent to it.then find the length of major axis.?? ...

what is the difference in these two statements.... >> a point dividing a line internally >> a point dividing a line externally let us suppose P divides AB in the ratio m:n and A = (x1,y1), B = (x2,y2) then coordin ...

please help me proof this one....The area formed by the three intersecting line y=m1x + c1, y=m2x + c2, y=m3x + c3.......is 1/2 Σ[ (c1-c2)2/(m1-m2) ] how to proof this one??? ...

If ax+by+c=0 is a tangent to xy=4, then find the sign of a and c . ...

If a circle with centre C(alpha ,beta) intersects a rectangular hyperbola with centre L(h,k) at four points P(x1,y1), Q(x2,y2), R(x3,y3) and S(x4,y4), then the maen of the 4 pts P,Q,R,S is the mean of the pts C and L.In other ...

$\textbf{Find the Ellipse with the largest area such that $\mathbf{x+2y=2}$ is a\\\\ tangent and his foci is at $\mathbf{(-c,0)}$ and $\mathbf{(c,0)}$ for some $\mathbf{0<c<2}$}\\ ...

Is it possible to divide a given square into n squares for any n≥6? ...

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PLS HELP me in dis q, *Image* ...

the locus of the point of intersection of the lines x/a +y/b = m & x/a - y/b = 1/m , where m is a parameter , is always : (a)a circle (b) a parabola (c) a ellipse (d) a hyperbola ...

Let e be the eccentricity of hyperbola. Let f(e) be the eccentricity of its conjugate hyperbola, then is equal to (A)3 (B)1 (C)3/2 (D)2 ...

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2=4ax is another parabola with directrix? ...

Find the locus of the points of intersection of tangents drawn at the ends of all normal chords of the parabola y2=8(x-1). ...

If points x,y are choseaban for randomly from the interval [0,2] and [0,1] respectively then probabilty that y=<x2 is k/3 then k is ...

Find the eqn of the circle on the other side of the line x+y=2 similarly situated as the circle x2+y2-2x=0. ...

*Image* i did this all things S1+lambdaS2=0 lambda≠-1 this gives p≠-1/2 so i went for option "2" but many reputed coaching say "1" and some sub-standard ones say "2" so i think "1" is right but how?? ...

1)The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1,1) and the co-ordinate axes lie in the first quadrant. If it's area is 2 then the value of b is: a)-1 b)3 c)-3 d)1 ans c 2)If the normals fr ...

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Q1. Find the locus of the centroid of an equilateral triangle inscribed in the ellipse? use general equation of ellipse? ...

not a doubt... Prove that the straight lines joining the origin to the points of intersection of the straight lines hx+ky=2hk and the curve (x-k)2+(y-h)2=c2 are at right angles if h2+k2=c2 ...

This is a step of a question. I already solved the question by another method but I am confused over which formula is applied directly here : The image (h,k) of (t2,2t) in x-y+1=0 is given by h-t2/1 = k-2t/-1 = -2(t2-2t+1)/(1 ...

Normal drawn at P(t) having negative ordinate,to parabola y2=10x meets the curve again at Q(t2).If t2 is least then length PQ is ...