Consider the straight line ax + by = c, where a, b, c ∈ R + this line meets the…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Consider the straight line ax + by = c, where a, b, c ∈ R+ this line meets the coordinate axes at A and B respectively. If the area of the ∆OAB, O being origin, does not depend upon a, b and c, then
- a, b, c are in AP
- a, c, b are in GP
- a, b, c are in HP
- none of these
Answer
(B) a, c, b are in GP
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- A rhombus is inscribed in the region common to the two circles x 2 + y 2 – 4x – 12 = 0 and x 2 + y 2 + 4x –…
- The two parabola y 2 = 4ax and y 2 = 4c (x –b) cannot have a common normal, other than the axis unless, if
- A light beam emanating from the point A(3, 10) reflects from the straight line 2x + y – 6 = 0 and then passes…
- The centre of the smallest circle touching the circles x 2 + y 2 – 2y – 3 = 0 and x 2 + y 2 – 8x – 18y + 93 =…
- A normal is drawn to the parabola y 2 = 4ax at the point (2a, –2 2 a) then the length of the normal chord, is
- The equation x^ 2 1-r - y^ 2 1+r = 1, |r| < 1 represents
- Assertion : Each point on the line y – x + 12 = 0 is equidistant from the lines 4y + 3x – 12 = 0, 3y + 4x –…
- The equation of the common tangents to the parabola y 2 = 8x and the hyperbola 3x 2 – y 2 = 3 is-
More Co-ordinate Geometry questions · Browse all practice questions