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Find the eqn of focal chord using the condition that the focal chord passes through the focus(a,0) as well as(at^2 , 2at) by using the two point form of the straight line. Now, find the point of...
hii [(a)(b)(c)] = a.(bxc) mod( a ) mod( b ) mod( c )sin( thetha )cos( alpha ) This value is given equal to mod(a) mod(b) mod(c) Hence sin(thetha)cos(alpha) = 1 thetha = pi/2 alpha = zero hence b.c = 0...
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Hi student, we have rectangular hyperbola xy=c 2 take a general point on this in parametric P(ct, c/t) Now tangent at point P is T=0 xy 1 + yx 1 = 2c 2 So in parametric x(c/t) + y(ct) = 2c 2 x/t + ty...
Find the angle between the 2 lines and the point of intersection. Use this angle to find the slope of the angle bisector by adding/subtracting the angle from the slopes of the 2 lines. You have the...
Hi student, 2x+6y + 9 =0 and x-3y + 2 =0 so a 1 a 2 + b 1 b 2 = 2*1 + 6*(-3) = 2 – 18 = -16 <0 So negative sign will give me obtuse angle bisector So Now you can simplify the above Concept is...
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The vertex would lie between the focus and the foot of the perpendicular from the focus to the directrix. Find the foot of perpendicular from the focus to the directri. The vertex will be found by...
The 2 ends of the double ordinate will be meeting the parabola at P(c,d) and Q(c,-d). The line segments joining P and Q with the vertex will have slopes as negative reciprocals of each other. Find the...
Only equal chords subtend equal angles at the centre. Find the distance between centre of circle and the mid point of chord. The locus will be a circle woth same centre and radius equal to the the...
Hi Student x 2 + y 2 +2xy -16x + 16y +32= 0 (x+y) 2 = 16 (x-y -2) Put Y= x+y and X= x-y -2 Y 2 = 16X Which is required parabola Y=0 and X=0 will give vertex of parabola And the axis is given by Y=0 so...
b:parabola is ans. use A+B = 180-P then take tan and apply angle between lines formula. Assume A(a,0) B(-a,0)
Find the derivative of the hyperbola (even if it contains y). Find the slope at P and Q. Find their negative reciprocal. Those would be the slopes of the normals at P and Q. You have the slope and a...
Draw the 2 ellipse in the figure. At a point(take for instance (0,1) for convenience and symmtry), draw a tangent to the first ellipse cutting the second at 2 points. As we know the slpoe of tangent...
Length of perpendicular from a point (x1, y1) on a line ax+by+c=0 is the absolute value of : Use it to obtain the 3 perpendiculars and show that a1 2 = a 0 . a 2
Hello student, The point B you are talking abt is not specifid in the que pls specify Thanks...