List of top Mathematics Questions on Straight lines asked in COMEDK UGET

A line \(L\) passes through the point of intersection of the lines \(3x+y-10=0\) and \(x-y-2=0\). If the perpendicular distance of the line \(L\) from the point \((5,1)\) is exactly \(\dfrac{2}{\sqrt{5}}\) units, which of the following represents the equation of line \(L\)?

Let point \( Q \) be the image of point \( P(2,-1) \) in the line \[ 3x+5=4y. \] Find the area of the circle that has the segment \( PQ \) as the diameter.

A straight line makes positive intercepts on the coordinate axes whose sum is 5. If the line passes through the point \( P(-3,4) \) then the equation of the line is

If the line \( (3x + 14y + 7) + k(5x + 7y + 6) = 0 \) is perpendicular to x-axis then the value of \( k \) is

In a triangle \( ABC \), the coordinates of the vertex \( A \) are \( (1, 2) \). Equations of the median through \( B \) and \( C \) are respectively \( x + y = 5 \) and \( x = 4 \). Then the equation of side \( AB \) is:

The line \( AB \) passes through the point \( P(-4, 3) \) and the portion of the line intercepted between the axes is divided internally in the ratio 5:3 by the point \( P \). Given that the point \( A \) lies on the x-axis and \( B \) lies on the y-axis, then the x-intercept of the line is

The point on the line \( x + y = 4 \) that lie at a unit distance from the line \( 4x + 3y = 10 \) is

A line \(L_1\) passes through the points \( (h,k), (1,2) \) and \( (-3,4) \). The points \( (4,3) \) and \( (h,k) \) lie on the line \(L_2\). Given \(L_1 \perp L_2\), then \( (k-h) \) equals to