Straight Lines questions
982 published questions with worked solutions.
- A vertical lamp-post, 6 m high, stands at a distance of 2 m from a wall, 4 m high. A 1.5-m-tall man starts to walk away from the...
- If the line segment joining (2,3) and (-1,2) is divided internally in the ratio 3:4 by the line x+2y=k then k is
- The polar coordinates of the vertices of a triangle are (0,0), (3, /2) and (3, /6). Then the triangle is
- The points (a, ,b+c), (b, ,c+a), (c, ,a+b) are
- The incentre of the triangle formed by the axes and the line x a + y b =1 is
- In the ABC, the coordinates of B are (0,0), AB=2, ABC= 3 and the middle point of BC has the coordinates (2,0). The centroid of...
- The coordinates of three consecutive vertices of a parallelogram are (1,3), (-1,2) and (2,5). The coordinates of the fourth...
- A point moves in the x-y plane such that the sum of its distances from two mutually perpendicular lines is always equal to 3. The...
- Let A=(1,2), B=(3,4) and let C=(x,y) be a point such that (x-1)(x-3)+(y-2)(y-4)=0. If ar ( ABC)=1 then maximum number of...
- The diagonals of a parallelogram PQRS are along the lines x+3y=4 and 6x-2y=7. Then PQRS must be a
- The equation of the straight line which passes through the point (-4,3) such that the portion of the line between the axes is...
- The equation of the straight line which bisects the intercepts made by the axes on the lines x+y=2 and 2x+3y=6 is
- The equation of a straight line passing through the point (-2,3) and making intercepts of equal length on the axes is
- The foot of the perpendicular on the line 3x+y= drawn from the origin is C. If the line cuts the x-axis and y-axis at A and B...
- ABC is an isosceles triangle in which A is (-1,0), A=2 /3, AB=AC and AB is along the x-axis. If BC=4 3 then the equation of the...
- If the points (-2,0), (-1,1/ 3) and ( , ) are collinear then the number of values of [0,2 ] is
- If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1 then the orthocentre of...
- The equations of the three sides of a triangle are x=2, y+1=0 and x+2y=4. The coordinates of the circumcentre of the triangle are
- Let the perpendiculars from any point on the line 2x+11y=5 upon the lines 24x+7y=20 and 4x-3y=2 have the lengths p and p'...
- If P (1+ t 2 , 2+ t 2 ) be any point on a line then the range of values of t for which the point P lies between the parallel...
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