InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
यदि `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` हो,तो `(dy)/(dx)` ज्ञात कीजिए । |
|
Answer» `ax^(2)+2hxy+by^(2)+2gx+2fy+c=0` दोनों पक्षों का x के सापेक्ष अवकलन करने पर, `d/(dx)(ax^(2)+2hxy+by^(2)+2gx+2fy+c)=0` `rArrd/(dx)(ax^(2))+d/(dx)(2hxy)+d/(dx)(by^(2))+d/(dx)(2gx)+d/(dx)(2fy)+d/(dx)(c )=0` `rArrad/(dx)(x^(2))+2hd/(dx)(xy)+bd/(dx)(y^(2))+2gd/(dx)(x)+2fd/(dx)(y)+0=0` `rArr2ax+2h(x(dy)/(dx)+y)+2by(dy)/(dx)+2g+2f(dy)/(dx)=0` `rArr(2hx+2by+2f)(dy)/(dx)+(2ax+2hy+2g)=0` `rArr2(hx+by+f)(dy)/(dx)=-2(ax+hy+g)` `rArr(dy)/(dx)=-((ax+hy+g))/((hx+by+f))` |
|