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10. Straight Lines
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Q22 of 59 Page 178

A line cutting off intercept – 3 from the y-axis and the tangent at angle to the x-axis is 3/5, its equation is

Given that:



We know that,


Slope of a line, m = tan θ



Since, the lines cut off intercepts – 3 on y – axis then the line is passing through the point (0, -3).


So, the equation of line is


y – y1 = m(x – x1)




⇒ 5y + 15 = 3x


⇒ 5y – 3x + 15 = 0


Hence, the correct option is (a)

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20

P1, P2 are points on either of the two lines at a distance of 5 units from their point of intersection. Find the coordinates of the foot of perpendiculars drawn from P1, P2 on the bisector of the angle between the given lines.

21

If p is the length of perpendicular from the origin on the line and a2, p2, b2 are in A.P, then show that a4 + b4 = 0.

23

Slope of a line which cuts off intercepts of equal lengths on the axes is

24

The equation of the straight line passing through the point (3, 2) and perpendicular to the line y = x is

Questions · 59
10. Straight Lines
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