The equations of three lines, AB, CD and EF are, (b – c) x + (c – a) y + (a – b) = 0, (c…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
The equations of three lines, AB, CD and EF are,
(b – c) x + (c – a) y + (a – b) = 0,
(c – a) x + (a – b) y + (b – c) = 0 and
(a – b) x + (b – c) y + (c – a) = 0 .
Which one of the following inferences is correct.
(b – c) x + (c – a) y + (a – b) = 0,
(c – a) x + (a – b) y + (b – c) = 0 and
(a – b) x + (b – c) y + (c – a) = 0 .
Which one of the following inferences is correct.
- the lines are parallel to each other
- AB and BC are perpendicular to EF
- all the lines are coincident
- the lines are concurrent
Answer
(D) the lines are concurrent
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Consider the circle x 2 + y 2 – 10x – 6y + 30 = 0 . Let O be the centre of the circle and tangent at A(7, 3)…
- The area of the region ( x, y ) : 0 ≤ x ≤ 0 ≤ y ≤ 1, x ≥ 3 y , x + y ≥ 2 is
- If M is the foot of the perpendicular from a point P of a parabola y 2 = 4ax to its directrix and SPM is an…
- Given the four lines with the equations x + 2y – 3 = 0, 3x + 4y – 7 = 0, 2x + 3y – 4 = 0, 4x + 5y – 6 = 0…
- The acute angle between two straight lines passing through the point M(–6, –8) and the points in which the…
- The locus of the mid point of the chords of the circle x 2 + y 2 = a 2 , which are tangent to the hyperbola…
- If the locus of the circumcentre of a variable triangle having sides y–axis, y = 2 and l x + my = 1, where (…
- The three lines px + qy + r = 0, qx + ry + p = 0, rx + py + q = 0 are concurrent if
More Co-ordinate Geometry questions · Browse all practice questions