Find the equation of the line which passes through `P(1,-7)` and meets the axes at `Aa n dB` respectively so that `4A P-3B P=0.`

Find the equation of the line which passes through P(1,-7) and meets the axes at A and B respectively so that 4A P-3B P=0.

Find the equations to the straight lines which pass through the point (-2, 3) and cut the axes at A (a, 0) and B (0, b) so that a+b=2

Find the equation of straight line which passes through the point P(2,6) and cuts the coordinate axis at the point A and B respectively so that AP:BP=2:3.

Consider two lines L_1a n dL_2 given by a_1x+b_1y+c_1=0a n da_2x+b_2y+c_2=0 respectively where c1 and c2 !=0, intersecting at point PdotA line L_3 is drawn through the origin meeting the lines L_1a n dL_2 at Aa n dB , respectively, such that PA=P B . Similarly, one more line L_4 is drawn through the origin meeting the lines L_1a n dL_2 at A_1a n dB_2, respectively, such that P A_1=P B_1dot Obtain the combined equation of lines L_3a n dL_4dot

Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)dot Find also, its Cartesian equations.

Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)dot Find also, its Cartesian equations.

Find an equation or the line that passes through the point P(2,\ 3,\ 1) and is parallel to the line of intersection o the planes x+2y-3z=4\ a n d\ x-2y+z=0 .

Find the vector equation of the line through A(4,4,-7)a n dB(2,-1,6)dot Find also, its Cartesian equations.

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

Find the vector equation of line passing through A(3,4-7)a n dB(1,-1,6)dot Also find its Cartesian equations.