নিম্নলিখিত প্রতিক্ষেত্রে স্বেচ্ছ ধ্রুবক (`a`,`m` অথবা, `c` ) অপনয়ন করে অবকল সমীকরণ গঠণ কোরো: `y=clogx-2`

The area of the triangle whose sides y=m_1 x + c_1 , y = m_2 x + c_2 and x=0 is

If x=m y+c is a normal to the parabola x^(2)=4 a y , then the value of c is

Form the differential equations by eliminating a (or m or c ) y^(2)=4ax

If y=mx+c is a tangent to the circle x^2+y^2=1 , show that c=+-sqrt(1+m^2)

Show that the line y = mx + c touches the parabola y^(2) = 4ax if c = (a)/(m) .

Let's find G.C.D and L.C.M of (y^3 - 8), (y^3 - 4y^2 + 4y) and (y^2 + y - 6)

If three lines whose equations are y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " y = m_(3) x + c_(3) are concurrent, then show that m_(1) (c_(2) - c_(3)) + m_(2) (c_(3) - c_(1)) + m_(3) (c_(1) - c_(2)) = 0 .

If the lines whose equations are y=m_1 x+ c_1 , y = m_2 x + c_2 and y=m_3 x + c_3 meet in a point, then prove that : m_1 (c_2 - c_3) + m_2 (c_3 - c_1) + m_3 (c_1 - c_2) =0

If the lines whose equations are y=m_1 x+ c_1 , y = m_2 x + c_2 and y=m_3 x + c_3 meet in a point, then prove that : m_1 (c_2 - c_3) + m_2 (c_3 - c_1) + m_3 (c_1 - c_2) =0