
Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes..... .........................(FIITJEE AITS ) ...

the position vectors of point P nd Q re p and q respectively. if O is the origin and R is a point in the interior of angle POQ such that OR bisects the angle POQ then find the unit vector along OR ...

equation of locus of point of intersection of 2 tangents of d hyperbola x2/a2y2/b2 =0 such dat d sums of their slopes is 5 ...

two straight lines rotate abt two fixed points (a,0) and (a,0) . if they start from their position of coincidence such that one rotates at the rate double the other, then... locus of the curve is ?? ... 1)circle 2)pa ...

Find the foot of the perpendicular from P(1, 2, 3) on the line (sum line is given..........)....... Also obtain the equation of the plane containing the line and the point (1, 2, 3)........... My doubt is how do we find the e ...

The radical center of three circles described on three sides of triangle as diameeter is............... ...

I know many of you would've done this problem before still i thought it would be fun to check your presence of mind(not knowledge in coordinate!!!!) Assume an arbitary st. line cutting a hyperbola (assume x2/a2y2/b2= ...

area of the greatest rectangle that can be inscribed in ellipse x2/a2+y2/b2=1 ...

The equation of largest circle passing from (1,1) and (2,2) and always in first quadrant........... ...

Origin is limiting point of coaxial system of which x^2 +y^2 6x 8y +1=0 is a member.The other limiting point is ..... ...

the circles (xa)^2 +(yb)^2 =c^2 and (xb)^2 +(ya)^2 =c^2 touch each other....then a=____ ...

If point(x,y) is called a lattice point if x,y belong to set of integers.Then total number of lattice points in the interior of circle x^2 +y^2= a^2 :a not equal to zero , are............ ...

The values of @ for which x^2 +y^2 +6x+5 +@(x^2 +y^2 8x +7)=0 dwindles into a point is ........... ...

If a chord of the circle x^2 +y^2 =6 makes equal interccepts of length a on the axes then modulus(a)<=.............. ...

If a varible circle touches externally two given circles,then locus of variable circle is.................. ...

for a hyperbola with xaxis as the axis which the hyperbola intersects, why do why bother to find (0,±b). ...

x+y =1 when xand y are mutually prependicular lines ...

the eqn of circle passing through (1,1) and having two diameters along the pair of lines x2y22x+4y3=0 ...

the length of the tangent drawn from any point on circle x+y+2gx+2fy+β =0 to circle x+y+2gx+2fy+μ=0 then (a) βμ (b) xμβ (c) xμ+β ( d)none ...

x+y=1 when x and y are mutually perpendicular lines or axes explain ...

the no. of normals that can be drawn to curve 4x2+9y2=36 from an external point in general is ans4 explain ...

the no. of diastinct normal line3s from exterior point (0,c) c>b, to ellipse x2/a2+y2/b2=1 1s ...

I am having problems with angle bisetors in 2D and 3D. How do find the angle bisector for say 2x+3y=5 and 5x+6y=11 ? ...

the no. of values of θ ε[0,2π] for which the line 2xcosθ+3ysinθ=6 touches the ellipse 4x2+9y2 =36 is (a)4 (b)2 (c)1 (d)∞ ...

how to know abt no. of normals to conic ...

in the previous question i asked that of hyperbola why t12 is taken as m explain ...

the normal to the rectangular hyperbola xy=c^2 at the point t1 meets the curve again at t2. value of ti^3.t2 is ...

the equation of the normal to ellipse x^2+4y^2=16 at the end of the latus rec tumin the first quadrant is (a) 2x+√3(y+3)=0 (b)2x=√3(y+3) (C) √3x=2(y+3) (d)none ...

asymtotes of d hyperbola 2x^2+5xy+2y^211x7y4=0 i noe 4 regular ones bt hwz this 2 b done....... plez tell me few basic points wich i need for rectangular hyprbola ... x^2y^2=a^2 ...........and xy=c^2........ar ...

in a triangle ABC, coordinates of orthocentre, centroid and vertex A are (3,2) , (3,1) and (1,2) respectively. Then xcoordinate of vertex B is... ??? i have got the ans but its not matching... so i wanna verify.. ...