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Athul Vincent
Subject: Maths
, asked on 12/12/17
"For a given?parabola?and a given point (h, k), this cubic in m has three roots say m1, m2, m3?i.e. from (h, k) three?normals?can be drawn to the parabola whose slopes are m1, m2, m3. For this cubic, we have m1?+ m2?+ m3?= 0, m1?m2?+ m2?m3?+ m3?m1?= (2a ? h)/a and m1?m2?m3?= ?k/a." 1. Derive m1?m2?+ m2?m3?+ m3?m1?= (2a ? h)/a.2. Derive m1m2m3=-k/a
Answer
1
Athul Vincent
Subject: Maths
, asked on 12/12/17
As you can see in the picture , two equations have been combined using the symbol lambda 1.Using what logic has that been done?2. Can we use the same logic too solve all types of equations?
Answer
1
Ritwik Kumar
Subject: Maths
, asked on 11/12/17
Bye friends it's my last day on meritnation . I'll miss u all it was a wonderful pleasure to study with u all great friends who were very responsive to my doubts that I asked . I made a lot of friends here especially Nikita Nag from Bhuvneshwar I couldn't talk to her much because my laptop was stolen and then on I operated my account on my mobile phone . Thank you and bye once again.
Answer
1
Athul Vincent
Subject: Maths
, asked on 11/12/17
"Let y^2= 4ax be the equation of a parabola and (x1, y1) an external point P. Then, equation of the tangents is given by?
SS1= T^2,where S = y^2-4ax, S1= y1^2- 4ax1, T = yy1 2a(x-x1)"?
How is the equation tangent given by SS1=T^2 ?
Answer
1
Athul Vincent
Subject: Maths
, asked on 11/12/17
Derive an equatiom for the tangent to a point t on a parabola(ty=x+at^2)
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 11/12/17
Prove that the bisector of the angle contain origin of the lines y = m(x – 1) and
y
=
2
+
2
1
+
m
2
2
(m is real parameter) touches a fixed parabola. Find the equation of the parabola.
Answer
2
Vibhansh Agarwal
Subject: Maths
, asked on 11/12/17
Q. A tangent to the hyperbola
x
2
a
2
-
y
2
b
2
=
1
meets its asymptotes at P and Q. If C is its centre, prove that CP. CQ = a
2
+ b
2
.
Answer
1
Athul Vincent
Subject: Maths
, asked on 11/12/17
Derive a formula for the angle between two tangents(for an ellipse)
Answer
1
Pragya Priyadarshini
Subject: Maths
, asked on 10/12/17
an isosceles triangle is inscribed in the parabola y^2=4ax with its base as the line joining the vertex of the parabola and positive end of the latus rectum of the parabola, if (at^2, 2at) is the vertex then 1)2t^2-8t+5=0 2)2t^2+8t-5=0 3)2t^2+8t+5=0 4)2t^2-8t-5=0
Answer
1
Smridhi Verma
Subject: Maths
, asked on 10/12/17
Find the distance between the directrix of the ellipse x^2 +36 + y^2 +20=1
Answer
1
Athul Vincent
Subject: Maths
, asked on 9/12/17
Prove that equation of tangent at 't' is ty=at^2
Answer
1
Ekta Ray
Subject: Maths
, asked on 9/12/17
Pls.solve this
Answer
1
Anushka Agrawal
Subject: Maths
, asked on 9/12/17
Please answer question no 5
Answer
1
Athul Vincent
Subject: Maths
, asked on 8/12/17
"Let y2?= 4ax be the equation of a parabola and (x1, y1) an external point P. Then, equation of the tangents is given by
SS1?= T2,?where S = y2?? 4ax, S1?= y12?? 4ax1, T = yy1?? 2a(x + x1)"
How is the equation tangent given by SS1=T^2 ?
Answer
2
Vibhansh Agarwal
Subject: Maths
, asked on 6/12/17
show that the angle between the tangents to the ellipse b^2 x^2 + a^2 y^2 = a^2 b^2 and the circle x^2 + y^2 = ab at their point of intersection is tan ^-1 (a-b)/ sqrt (ab)
Answer
1
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What are you looking for?
SS1= T^2,where S = y^2-4ax, S1= y1^2- 4ax1, T = yy1 2a(x-x1)"?
How is the equation tangent given by SS1=T^2 ?
SS1?= T2,?where S = y2?? 4ax, S1?= y12?? 4ax1, T = yy1?? 2a(x + x1)"
How is the equation tangent given by SS1=T^2 ?