Straight LineHard
Question
Line L has intercepts a and b on the cooedinate axes. When the axes are rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q, then
Options
A.a2 + b2 = p2 + q2
B.

C.a2 + p2 = b2 + q2
D.

Solution
Since, the origin remains the same. So, lenght of the prependicular from the origin on the line in its position
= 1 and
are equal. Therefore.

⇒
= 1 and
are equal. Therefore. 
⇒

Create a free account to view solution
View Solution FreeMore Straight Line Questions
The area of the triangle formed by the lines x = 0, y = 0 and x/a + y/b = 1 is -...The equation of the lines which passes throughthe point (3, −2) and are inclined at 60o to theline √3 x + y ...A variable line drawn through the point (1, 3) meets the x- axis at A and y- axis at B. It the rectangle OAPB is complet...If the foot of the perpendicular from the origin to a straight line is at the point (3, −4). Then the equation of ...Find the fix point through which the line (2cosθ + 3sinθ) x + (3cosθ − 5sinθ) y − (5cos&...