Distance of a point from a line

JEE Main Mathematics · Straight Lines · 8 questions, latest first

• A rectangle is formed by the lines x=0, y=0, x=3 and y=4. Let the line L be perpendicular to 3 x+y+6=0 and divide the area of the…202623 January, Shift 1 · Q9
• Let a point A lie between the parallel lines L_1 and L_2 such that its distances from L_1 and L_2 are 6 and 3 units,…202621 January, Shift 1 · Q10
• Let a be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle α with the positive x…20258 April, Shift 2 · Q11
• A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines L_1: 2 x+y+6=0…20253 April, Shift 1 · Q13
• Let the distance between two parallel lines be 5 units and a point P lie between the lines at a unit distance from one of them.…202522 January, Shift 2 · Q24
• Let two straight lines drawn from the origin O intersect the line 3 x+4 y=12 at the points P and Q such that OPQ is an isosceles…20245 April, Shift 1 · Q14
• The vertices of a triangle are A(-1,3), B(-2,2) and C(3,-1). A new triangle is formed by shifting the sides of the triangle by…20244 April, Shift 1 · Q16
• Let A be the point of intersection of the lines 3 x+2 y=14,5 x-y=6 and B be the point of intersection of the lines 4 x+3 y=8,6…202429 January, Shift 2 · Q12