NCERT Class 11 Mathematics Solutions: Chapter 10 – Straight Lines Miscellaneous Exercise 10 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)
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1. Find the values of θ and p, if the equation is the normal form of the line .
Answer:
The equation of the given line is
This equation can be reduced as
On dividing both sides by
… eq (1)
Comparing equation (1) to
The values of are negative,
So, the respective values of .
3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are , respectively.
Answer:
Consider the intercepts cut by the given lines on the axes be .
It is given that
… (1)
… (2)
On solving equations (1) and (2) , we obtain
or
It is known that the equation of the line whose intercepts on the axes are is
Or
Case I
In this case, the equation of the line is
.
Case II:
In this case, the equation of the line is .
Thus, the required equation of the lines are .