Questions in st-line

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	The point (4, 1)undergoes the following two successive transformation. (i) Reflection about the line $y=x$. (ii) Translation through a distance 2 units along the positive x-axis. Then the final coordinates of the point are
	Line L has intercepts a and b on the co-ordinate axes. When the axes are rotated through a given angle keeping the origin fixed, the same line L has intercepts p and q, then
	Let L be the line $2x+y=2$. If the axes are rotated by ${{45}^{o}}$, then the intercepts made by the line L on the new axes are respectively
	The pedal points of a perpendicular drawn from origin on the line $3x+4y-5=0$, is
	The image of a point $A(3,\,8)$in the line $x+3y-7=0$, is
	The reflection of the point (4,–13) in the line $5x+y+6=0$ is
	If (– 2, 6) is the image of the point (4, 2) with respect to line L = 0, then $L =$
	A straight line passes through a fixed point $(h,k)$. The locus of the foot of perpendicular on it drawn from the origin is
	If for a variable line $\frac{x}{a}+\frac{y}{b}=1$, the condition $\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{c}^{2}}}$ (c is a constant) is satisfied, then locus of foot of perpendicular drawn from origin to the line is
	If the extremities of the base of an isosceles triangle are the points $(2a,0)$ and $(0,a)$ and the equation of one of the sides is $x=2a$, then the area of the triangle is