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NCERT Class 11- Math՚s: Exemplar Chapter – 10 Straight Lines Part 9
Question 21:
If is the length of perpendicular from the origin on the line and are in then show that
Answer:
Given equation is
Since, p is the length of perpendicular drawn from the origin to the given line
Squaring both the sides, we have
Since, are in AP
Form eq. (i) and (ii) , we get
Hence Proved
Objective Type Questions
Choose the correct answer from the given four options in Exercises 22 to 41
Question 22:
A line cutting off intercept from the axis and the tangent at angle to the axis is , its equation is
(A)
(B)
(C)
(D) None of these
Answer: (A)
Question 23:
Slope of a line which cuts off intercepts of equal lengths on the axes is
(A)
(B)
(C)
(D)
Answer: (A)
Question 24:
The equation of the straight line passing through the point and perpendicular to the line is
(A)
(B)
(C)
(D)
Answer: (B)
Question 25:
The equation of the line passing through the point and perpendicular to the line is
(A)
(B)
(C)
(D)
Answer: (B)
Question 26:
The tangent of angle between the lines whose intercepts on the axes are and respectively, is
(A)
(B)
(C)
(D) None of these
Answer: (C)