CBSE Class 11 Mathematics Straight Lines Assignment Set B

Chapter: - Straight Lines and Conic Sections

Q1.What point on x-axis is equidistant from the points A (1, 3) and B (2,-5)

Ans. (19/2, 0)

Q2. For what values of x, the area of the triangle formed the points (5, -1), (x, 4) and (6, 3) is 5.5 sq. units?

Ans. 7/2 or 9

Q3. A line cut off intercepts -3 and 4 on x and y-axis respectively. Find the slope and equation of the line.

Ans. 4/3, 4x -3y +12 =0

Q4. Find the equation of a line parallel to x-axis at a distance of 3 units above x-axis.

Ans. y=3

Q5. Find the value of c and m so that the line y = m x +c may pass through the points (-2, 3) and (4,-3)

Ans. c=1, m= -1

Q6. Mid-points of the sides of a triangle are (2, 2), (2, 3) and (4, 6). Find the equations of the sides of a triangle.

Ans. 3x- 2y =2, 2x-y =1, x=4

Q7. Find the equations of the medians of the triangle whose vertices are (2, 0), (0, 2) and (4, 6).

Ans. x=2, 5x-3y=2, x-3y +6 =0

Q8. Show that the points (a, 0) (0, b) and (3a, -2b) are collinear Also find the equation of the line containing them.

Ans. bx + ay =ab

Q9.Find the new coordinates of the point(3,-5) if origin is shifted to the point (2,3) by a transformation of axes.

Ans. (1,-8)

Q10. Find the equation of the line such that segment intercepted by the axes is divided by the points (-5,4) in the ratio 1:2.

Ans. 8 x -5y +60 =0

Q11. Find the equations of the medians of the triangle ABC whose vertices are A (2, 5), B (-4, 9) and C (-2,-1)

Ans. 8x-y+15=0, x-5y+23=0, 7x+4y-8=0

Q112. Find the image of the point (-8, 12) with respect to the line mirror 4x+7y+13=0.

Ans. (-16,-2)

Q13 Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and cutting off equal intercepts on the coordinate axes.

Ans. 23x+23y=11

Q14. Find the coordinates of the foot of the perpendicular from a point (-1, 3) to the line 3x-4y=16

Ans. 68/25,-49/25)

Q15. Find the equation of the line parallel to y- axis and drawn through the point of intersection of x-7y+5=0 and 3x+7y=7

Ans. x=1/2

Q16. Find the equation of parabola with focus at (5, 0) and directrix x+5=0, Also find the length of latus rectum.

Ans. y² =20x, 20

Q17. For the parabola y²=-12x, Find the coordinates of focus, the equation of directrix and length of latus rectum.

Ans. (-3, 0), x=3, 12

Q18. Find the equation of parabola with vertex at origin and having directrix y=2

Ans. x²=-8y

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