In this video, we will an some important properties of triangle and application of a property in a question asked in JEE Advanced 2021 MATHS.
The Euler line of a triangle is a line going through several important triangle centers, including the orthocenter, circumcenter, centroid, and center of the nine point circle.
Image of ORTHOCENTRE in any side of a triangle lies on the CIRCUMCIRCLE.
Image of a vertex of a triangle in the angle bisector of a triangle lies on the opposite side.
The angle bisector of any angle of a triangle and perpendicular bisector of the opposite side intersect on the circumcircle of the triangle.
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Cartesian system of rectangular
coordinates in a plane, distance formula,
sections formula, locus, and its equation,
translation of axes, the slope of a line,
parallel and perpendicular lines,
intercepts of a line on the co-ordinate axis.
Various forms of equations of a line,
intersection of lines, angles between two lines,
conditions for concurrence of three lines,
the distance of a point form a line,
equations of internal and external by sectors of angles between two lines,
coordinate of the centroid, orthocentre, and circumcentre of a triangle,
equation of the family of lines passing through the point of intersection of two lines.
A standard form of equations of a circle,
the general form of the equation of a circle,
Radius and centre of a circle from given equation,
equation of a circle when the endpoints of a diameter are given,
equation of circle in diameter form,
points of intersection of a line and a circle with the centre at the origin,
condition for a line to be tangent to a circle,
equation of the tangent to a circle,
equation of tangent in point form,
equation of tangent in slope form,
equation of tangent in parametric form,
parametric form of circle,
equation of common chord,
equation of common tangent,
equation of tangent from an external point,
equation of chord with mid-point,
length of common tangent,
length of internal common tangent,
length of external common tangent,
orthogonality of two circles,
family of circles,
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COACHengg's video: Triangle Important Properties - JEE Advanced MATHS Rankers - ROCKET CONCEPTS
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