Question

Show that A=(2x^2+8xy^2z)i+(3x^3y-3xy)j-(4y^2z^2+2x^3z)k is not solennoidal but B=xyz^2A is solenoidal

Answer 1

Step-by-step explanation:



Join / Login

Question



Equations 3x2−8xy−3y2=0 and  x−2y=3represents the sides of a triangle which is

A

right angled but not isosceles

B

only isosceles

C

equilateral

D

right angled and isosceles

Hard

Open in App

Solution



Verified by Toppr

Correct option is A)

Given eq of pair of line 

3x2−8xy−3y2=0

and line x−2y=3

Here condition to be perpendicular of 2 lines of pair ax2+2hxy+by2=0 is 

a+b=0

3−3=0⇒0

hence line is perpendicular SO the lines making right angled triangle 

Equation of angle of bisector 

a−bx2−y2=hxy

3+3x2−y2=−4xy

6x2−y2=−4xy

the lines from above eq are 

y=2x and y=