Straight Lines Class 11 MCQs Questions with Answers

1. Let ax + by + c = 0 be a variable straight line, where a, b and c are 1st, 3rd and 7th terms of some increasing A. P. Then the variable straight line always passes through a fixed point which lies on

2. What will be the new equation of the straight line 5x + 8y = 10, if the origin gets shifted to (2,-3) ?

3. What can be said regarding if a line if its slope is zero

4. The equation of the locus of a point equidistant from the point A(1, 3) and B(-2, 1) is

5. The equation of the line through the points (1, 5) and (2, 3) is

6. Slope of a line is not defined if the line is

7. In a ΔABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is

8. The locus of a point, whose abscissa and ordinate are always equal is

9. If two vertices of a triangle are (3, -2) and (-2, 3) and its orthocenter is (-6, 1) then its third vertex is

10. Two lines are perpendicular if the product of their slopes is

11. The sum of squares of the distances of a moving point from two fixed points (a, 0) and (-a, 0) is equal to 2c² then the equation of its locus is

12. y-intercept of the line 4x – 3y + 15 = 0 is

13. The length of the perpendicular from the origin to a line is 7 and the line makes an angle of 150 degrees with the positive direction of the y-axis. Then the equation of line is

14.  Let P and Q be the points on the line joining A(–2 , 5) and B(3 , 1) such that AP = PQ = QB , then the mid point of PQ is

15. If the slope of the line passing through the points (2, 5) and (x, 1) is 2, then x = ……