NCERT Maths Solutions Class 11th Chapter 10 Straight Lines Exercise Miscellaneous Questions
NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines
NCERT Solutions for Class 11 Maths Chapter 10: Straight Lines, prepared by experts in the field, comprehensively cover all key topics within the chapter. Each exercise is accompanied by detailed explanations to enhance students' understanding of the concepts. These solutions are essential for preparing for CBSE exams, including the JEE.
NCERT Solution for Class 11 Maths Chapter 10 Straight Lines Exercise Miscellaneous Exercise
Miscellaneous Exercise Class 11 Maths Question-1
Find the values for which line (k – 3 )x –(4 – k 2) y + k 2 - 7k + 6 = 0 is
(a)Parallel to the x-axis,
(b)Parallel to the y-axis,
(c)Passing through the origin.
Ans:The given equation of line is
(k - 3) x – (4 – k 2) y + – k 2 -7k + 6 = 0…(1)
(a) If the given line is parallel to the x-axis, then
Slope of the given line = slope of the x-axis
The given line can be written as
(4 – k 2) y = (k – 3 x + ) x + k 2 - 7k + 6 = 0
Miscellaneous Exercise Class 11 Maths Question-3
Find the equations of the lines, which cut –off intercepts on the axis whose sum and product are 1 and -6, respectively.
Ans:Let the intercepts cut by the given lines on the axes be a and b.
It is given that
A + b = 1…(1)
ab =-6…(2)
On solving equations(1) and (2), we obtain
a = 3 and b =-2 or a =-2 and b =3
It is known that the equation of the line whose intercepts on the axes are a and b is