Q1MathsUnit 10: Co-ordinate Geometry
is any point on the circumcircle of
other than the vertices. is the
orthocenter of is the mid-
point of and is the mid-point of
Then
Mathematics · JEE
Co-ordinate of the centroid, orthocentre and circumcentre of a triangle Short Tricks for JEE
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Co-ordinate of the centroid, orthocentre and circumcentre of a triangle focus drill
Solve 15 mixed MCQs for Co-ordinate of the centroid, orthocentre and circumcentre of a triangle, review every explanation, and note formulas you hesitated on.
Calculus substitution scan
Spot standard forms (sin²x, 1/(a²+x²), e^ax) before integrating — JEE rewards pattern recognition.
Graph sketch shortcut
For coordinate geometry, mark intercepts and asymptotes first; many MCQs need only qualitative graph features.
Syllabus context
Part of Co-ordinate Geometry in JEE Main Mathematics.
- Cartesian system of rectangular coordinates in a plane
- Distance formula, sections formula, locus and its equation
- The slope of a line, parallel and perpendicular lines
- Intercepts of a line on the co-ordinate axis
- Straight line: 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 from a line
- Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
- Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre
- Equation of a circle when the endpoints of a diameter are given
- Points of intersection of a line and a circle with the centre at the origin
- Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms
Free sample questions
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Q2MathsUnit 10: Co-ordinate Geometry
If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all
of which are
Q3MathsUnit 10: Co-ordinate Geometry
D, and are the mid-point of sides
CA and of then area
area
Q4MathsUnit 10: Co-ordinate Geometry
In a triangle a line is drawn
parallel to , points , Q being on
and respectively. If
then what is the ratio of the area of
triangle to the area of triangle
Q5MathsUnit 10: Co-ordinate Geometry
is an isosceles triangle with
Then the line of symmetry
for the will be:
This question has multiple correct options
Q6MathsUnit 10: Co-ordinate Geometry
If the area of two similar triangles are equal, then they are
Q7MathsUnit 10: Co-ordinate Geometry
In a perpendicular from on meets at If
and then
Q8MathsUnit 10: Co-ordinate Geometry
An obtuse triangle will have one and only one angle.
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Popular questions in Co-ordinate of the centroid, orthocentre and circumcentre of a triangle
- Let \( \bar{a}, \bar{b}, \bar{c} \) and \( \bar{d} \) be position vectors of four points \( A, B, C \) and \( D \) lying…
- If the midpoints of the sides of an equilateral triangle are connected, then they divide it into four triangles all of w…
- D, \( E \) and \( F \) are the mid-point of sides \( B C \) CA and \( A B \) of \( \triangle A B C, \) then area \( \tri…
- \( P \) is any point on the circumcircle of \( \triangle A B C \) other than the vertices. \( H \) is the orthocenter of…
- If \( S \) is the circumcentre, \( O \) is the orthocenter of \( \triangle \boldsymbol{A B C} \), then \( \boldsymbol{S …
- Let \( \bar{a}, \bar{b}, \bar{c} \) and \( \bar{d} \) be position vectors of four points \( A, B, C \) and \( D \) lying…
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