Maths-
General
Easy
Question
If a 
0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y2 = 4ax and x2 = 4ay, then
- d2 + (3b – 2c)2 = 0
- d2 + (3b + 2c)2 = 0
- d2 + (2b – 3c)2 = 0
- d2 + (2b + 3c)2 = 0
The correct answer is: d2 + (2b + 3c)2 = 0
The two parabolas intersect at (0, 0) and (4a, 4a). The equation of their common chord must be y = x which must be same as given line
2bx + 3ay + 4d = 0
Related Questions to study
maths-
The P be the family of parabolas y = x2 + px + q (q ≠ 0) whose graphs cut the axes in three points. The family of circles through these three points have a common point
The P be the family of parabolas y = x2 + px + q (q ≠ 0) whose graphs cut the axes in three points. The family of circles through these three points have a common point
maths-General
Maths-
Consider the two curves C1 : y2 = 4xC2 : x2 + y2 – 6x + 1 = 0Then,
Consider the two curves C1 : y2 = 4xC2 : x2 + y2 – 6x + 1 = 0Then,
Maths-General
chemistry-
A complex involving 
-hybridization is:
A complex involving -hybridization is:
chemistry-General
physics-
An engine approaches a hill with a constant speed. When it is at a distance of 
it blows a whistle, whose echo is heard by the driver after 
If speed of sound in air is 
the speed of engine is
An engine approaches a hill with a constant speed. When it is at a distance of it blows a whistle, whose echo is heard by the driver after If speed of sound in air is the speed of engine is
physics-General
physics-
Two strings 
and 
of a sitar produce a beat frequency 
When the tension of the string is slightly increased the beat frequency is found to be 
If the frequency of is 
then the original frequency of was
Two strings and of a sitar produce a beat frequency When the tension of the string is slightly increased the beat frequency is found to be If the frequency of is then the original frequency of was
physics-General
chemistry-
I.U.P.A.C name of 
is:
I.U.P.A.C name of is:
chemistry-General
Maths-
The equation of the directrix of the parabola y2 + 4y + 4x + 2 = 0 is-
The equation of the directrix of the parabola y2 + 4y + 4x + 2 = 0 is-
Maths-General
maths-
Let tangent at P (3, 4) to the parabola (y – 3)2 = (x – 2) meets line x = 2 at A and if S be the focus of parabola then 
is equal to
Let tangent at P (3, 4) to the parabola (y – 3)2 = (x – 2) meets line x = 2 at A and if S be the focus of parabola then is equal to
maths-General
Maths-
If two tangents drawn from the point (
) to the parabola y2 = 4x be such that the slope of one tangent is double of the other then
If two tangents drawn from the point () to the parabola y2 = 4x be such that the slope of one tangent is double of the other then
Maths-General
physics-
The temperature at which the speed of sound in air becomes double of its value at 
is
The temperature at which the speed of sound in air becomes double of its value at is
physics-General
physics-
A transverse sinusoidal wave moves along a string in positive x-direction at a speed of 10
. The wavelength of the wave is 0.5 m and its amplitude is 10.cm at a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
A transverse sinusoidal wave moves along a string in positive x-direction at a speed of 10. The wavelength of the wave is 0.5 m and its amplitude is 10.cm at a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is
physics-General
maths-
The point on the line x – y + 2 = 0 from which the tangent to the parabola y2 = 8x is perpendicular to the given line is (a, b), then the line ax + by + c = 0 is
The point on the line x – y + 2 = 0 from which the tangent to the parabola y2 = 8x is perpendicular to the given line is (a, b), then the line ax + by + c = 0 is
maths-General
Maths-
The equation of normal in terms of slope m to the parabola (y – 2)2 = 4 (x – 3)
The equation of normal in terms of slope m to the parabola (y – 2)2 = 4 (x – 3)
Maths-General
maths-
The condition that the parabolas y2 = 4c (x – d) and y2 = 4ax have a common normal other then x-axis (a 
0, c 0) is
The condition that the parabolas y2 = 4c (x – d) and y2 = 4ax have a common normal other then x-axis (a 0, c 0) is
maths-General
physics-
If the speed of the wave shown in the figure is 
in the given medium, then the equation of the wave propagating in the positive 
-direction will be (all quantities are in M.K.S. units)
If the speed of the wave shown in the figure is in the given medium, then the equation of the wave propagating in the positive -direction will be (all quantities are in M.K.S. units)
physics-General
