If the vertices of a triangle are [a t_ 1 t_ 2 , a (t_ 1 +t_ 2 ) ], [a t_ 2 t_ 3 , a (t_…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
If the vertices of a triangle are \(\left[a t_{1} t_{2}, a\left(t_{1}+t_{2}\right)\right],\left[a t_{2} t_{3}, a\left(t_{2}+t_{3}\right)\right],\left[a t_{3} t_{1}, a\left[t_{3}+t_{1}\right]\right]\), then the coordinates of its orthocentre are
- \(\left(-a_{1} a\left[t_{1}+t_{2}+t_{3}+t_{1} t_{2} t_{3}\right]\right)\)
- \(\left[a\left[t_{1}+t_{2}+t_{3}+t_{1} t_{2} t_{3}\right],-a\right]\)
- \(\left.\left[\mathbf{a}_{1} \mathbf{a}\left[\mathrm{t}_{1}+\mathrm{t}_{2}+\mathrm{t}_{3}+\mathrm{t}_{1} \mathrm{t}_{2} \mathrm{t}_{3}\right]\right)\right]\)
- \(\left[\left(\mathbf{a}\left[t_{1}+t_{2}+t_{3}+t_{1} t_{2} t_{3}\right], \mathbf{a}\right]\right.\)
Answer
(B) [a [t_ 1 +t_ 2 +t_ 3 +t_ 1 t_ 2 t_ 3 ],-a ]
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The number of values of c such that the straight line y=4 x+c touches the curve x^ 2 4 +y^ 2 =1 is,
- The length of the latus-rectum of the parabola x = ay 2 + by + c is
- If PQ is a focal chord of the parabola y^ 2 =4 a x, O is the origin and G is the centroid of triangle OPQ…
- The line passing through (0, 1) and perpendicular to the line x – 2y + 11 = 0 is
- The equation of a line parallel to ax + by + c = 0 and passing through the point (c, d) is
- A triangle is formed by a tangent to the ellipse x^ 2 a^ 2 + y^ 2 b^ 2 =1 and the coordinate axes. The area…
- The ellipse x^ 2 25 + y^ 2 16 =1 and the hyperbola x^ 2 25 - y^ 2 16 =1 have in common
- The image of the point (2, 1) with respect to the line mirror be (5, 2). Then the equation of the mirror is -
More Co-ordinate Geometry questions · Browse all practice questions