Ch -10, Straight Lines, Ex -10.1, Q-2

The line 5x + 4y = 0 passes through the point of intersection of straight lines (1) x+2y-10 = 0, 2x + y =-5

The line 5x + 4y = 0 passes through the point of intersection of straight lines x+2y-10 = 0, 2x + y =-5

if the parabola y=x^2 + bx+c touches the straight line y=x at (1,1) , then 1000+100b+10c=

The equation of the tangents to 2x^(2)+3y^(2) =36 which are parallel to the straight line x + 2y-10 =0, are

Find the area of the triangle formed by the straight lines 7x-2y+10=0, 7x+2y-10=0 and 9x+y+2=0 (without sloving the vertices of the triangle).

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The length of the perpendicular from the point (2, -1, 4) on the straight line, (x+3)/(10)=(y-2)/(-7)=(z)/(1) is

Consider the equation of a pair of straight lines as 2x^(2)-10xy+12y^(2)+5x-16y-3=0 . The angles between the lines is theta . Then the value of tan theta is

The vertex of the right angle of a right angled triangle lies on the straight line 2x +y- 10 =0 and the two other vertices, at points (2,-3) and (4,1) then the area of triangle in sq. units is-