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Section Formula & Conic Sections - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Section Formula is considered one the most difficult concept.
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21 Questions around this concept.
Solve by difficulty
Let O be the vertex and Q be any point on the parabola, x2 = 8y. If the point P
divides the line segment OQ internally in the ratio 1 : 3, then the locus of P is :
If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals:
Using section formula find the foot of perpendicular drawn from the point (2,3) to the line joining the points (2,0) and
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Let $\alpha, \beta, \gamma, \delta \in \mathbb{Z}$ and let $\mathrm{A}(\alpha, \beta), \mathrm{B}(1,0), \mathrm{C}(\gamma, \delta)$ and $\mathrm{D}(1,2)$ be the vertices of a parallelogram $\mathrm{ABCD}$. If $\mathrm{AB}=\sqrt{10}$ and the points $\mathrm{A}$ and $\mathrm{C}$ lie on the line $3 \mathrm{y}=2 \mathrm{x}+1$, then $2(\alpha+\beta+\gamma+\delta)$ is equal to
Concepts Covered - 1
Section Formula
Section Formula
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Internal division
The coordinates of the point P (x, y) dividing the line segment joining the two points A (x1, y1) and B (x2, y2) internally in the ratio m : n is given by
Note:
If P is the mid point of the line segment AB, then ratio become equals, i.e. m = n, in this case, coordinates of point P is
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External Division
The coordinates of the point P (x, y) dividing the line segment joining the two points A (x1, y1) and B (x2, y2) externally in the ratio m : n is given by
NOTE:
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If the ratio in which a given line segment is divided, is to be determined, then sometimes, for convenience (instead of taking the ratio m : n) we take the ratio λ : 1 and apply the formula for internal division
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If the value of λ > 0, it is an internal division, otherwise it is an external division (i.e. when λ < 0 )
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