1800-150-456-789
FlagBACK
Flag Analytical Geometry> If a straight line 3x+4y=24 intersects th...
question mark

If a straight line 3x+4y=24 intersects the axes at A and B and line 4x+3y=24 intersects the axes at C and D, then the number of possible parabolas to draw through A B C D are
  1. 0
  2. 1
  3. 2
  4. 4

Charu Kulshrestha , 8 Years ago
Grade 12
anser 2 Answers
Vikas TU

Last Activity: 8 Years ago

On plotting both the eqns. we would get two intercepts ion x-axis and y-axis respectively.
And from these 4 points it is perhaps not possible that a parabola would pass through it.
Because a parabola has maximum degree is 2 and since it could have only one intercept on y axis.
it s not possible.
Therfore no. of possible parabolas is 0.

Utkarsh

Last Activity: 7 Years ago

Equation of the curve passing through the points A, B, C, D is(3x + 4y – 24)(4x + 3y – 24) – (lamd)xy = 0If it represents a parabola then the quadratic terms must form a perfect square.(lamda) = 1 or 49

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on analytical geometry

question mark
  • The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is 
analytical geometry
0 Answer Available

Last Activity: 2 Years ago

question mark
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius. 
 
analytical geometry
0 Answer Available

Last Activity: 3 Years ago

question mark
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
0 Answer Available

Last Activity: 3 Years ago