Consider the equation `y-y_1=m(x-x_1)` . If `m and x_1` are fixed and different lines are drawn for different values of `y_1,` then

Consider the equation y-y_1=m(x-x_1) . If ma n dx_1 are fixed and different lines are drawn for different values of y_1, then (a) the lines will pass through a fixed point (b) there will be a set of parallel lines (c) all the lines intersect the line x=x_1 (d)all the lines will be parallel to the line y=x_1

Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x is

Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y is 1 when x = 1, then the value of x for which y = 2, is

The family of lines (2 cos theta + 3 sin theta) x + (3 cos theta - 5 sin theta) y-(5 cos theta - 2 sin theta) = 0 is concurrent at (x_1, y_1) and the family of lines (a+2b) x+(a-3b) y+b-a=0 for different values of a and b is concurrent at (x_2, y_2) then : (A) x_2 + y_2 = x_1 (B) x_2 + y_2 = y_1 (C) 6x_2 + y_2 = 2x_1 + y_1 (D) none of these

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of m .

Consider the differential equation ydx-(x+y^(2))dy=0 . If for y=1, x takes value 1, then value of x when y = 4, is

If the line y=m x+1 is tangent to the parabola y^2=4x , then find the value of mdot

If the lines ax+y+1=0, x+by+1=0 and x+y+c=0 (a,b and c being distinct and different from 1) are concurrent the value of (a)/(a-1)+(b)/(b-1)+(c)/(c-1) is

Draw the graph of equation x/4+y/5=1 . Use the graph drawn to find: (i) x_(1) the value of x, when y=10 (ii) y_(1) the value of y, when x=8

The lines with the equations y = m_(1)x+4 and y = m_(2)x+3 will intersect to the right of the y - axis if and only is