1- let b (1,-3) and d(0,4) represent 2 vertices of rhombus abcd in xy plane and angle bad=60 then find coordinate of vertex a
2- consider 3 lines ax+by+c=0,bx+cy+a=0,cx+ay+b=0 a,b,c belongs to r find the condition for a,b,c in such a way that a- they lie extire xy plane b- the lines r concurrent, c- lines r coincident, d- lines r neither coincident nor concurrent
Asked byKeshav Kr3 days, 5 hours agoSubject:Math
2-
1- THROUGH A PT A ON THE X AXIS IS A ST LINE IS DRAWN PARALLEL TO THE Y AXIS SO AS TO MEET THE PAIR OF ST LINE AX2+2HXY+BY2=0 IN B AND C IF AB=BC THEN WHAT HAPPENS ALSO ESTABL ISH THE RELATION B/W H , A AND B
2- find the condition for consisting of 2 intersecting lines and consisting of 2 para llel lines which r not coincident
ax +by +c = 0 (1)
by +cy +a = 0 (2)
cx +ay +b = 0 (3)
The line are concurrent if
lines are coincident means all three lines are same.
Lines are neither coincident nor concurrent means , they are not the same lines , and the value of determinant is not zero.
2) Two intersecting lines will have a common intersection point , the point should satisfy both lines.
And if the lines are parallel but not coincident means, they have the same slope , but the intercept on x and y axis is different for both of them.