Question

all formulas of coordinate geometry class 10 with explanation like which formula is used to find one point etc.who answer correctly will get a follow,5 star and brainalist please answer fast ​

Answer 1

For finding distance between P&Q:

$\large\red{\large\sqrt{(x2 - x1)^{2} \times (y2 - y1)^{2}}}$

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For example :

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Question:

Find the distance between the following pairs of points

(2,3)(4,1)

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Answer :

Let P(2,3) and Q(4,1) be the given points

Here, x1 = 2, y1 = 3 and X2 = 4, y2 = 1

$\large\red{PQ = \sqrt{(x2 - x1)^{2} + (y2 - y1) ^{2}}}$

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So,

$\large\blue{:\leadsto} \: \orange{PQ = \sqrt{(4 - 2)^{2} + (1 - 3)^{2}} }$

$\large\blue{:\leadsto}\orange{PQ = \sqrt{(2)^{2} +( - 2)^{2}}}$

$\large\blue{:\leadsto}\orange{PQ = \sqrt{4 + 4}}$

$\large\blue{:\leadsto}\orange{PQ = \sqrt{8} }$

$\large\green{\boxed{\blue{:\leadsto}\orange{PQ = 2 \sqrt{2}}}}$

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For finding X and y coordinates :

$\red{[\dfrac{m1×x2+n2×x1}{m+n}],[\dfrac{x×y2+x×y1}{m+n}]}$

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For example :

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Question :

Find the coordinates of the point which divides the join of (-1,7)

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Answer :

Given :

• Let P(x,y) be the required point
• Let A(-1,7) and B(4,-3)
• m;n = 2;3

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Hence,

• x1 = -1
• y1 = 7
• x2 = 4
• y2 = -3

By section formula ,

$\large\red{p(x,y) \: = \: [\dfrac{m1×x2+n2×x1}{m+n}],[\dfrac{x×y2+x×y1}{m+n}]}$

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By substituting we get,

$\blue{:\leadsto}\orange{x = \dfrac{2×4+3×-1}{2+3}}$

$\blue{:\leadsto}\orange{x = \dfrac{8-3}{5}}$

$\blue{:\leadsto}\orange{x = \dfrac{5}{5}}$

$\large\green{\boxed{\blue{:\leadsto}\orange{x = 1}}}$

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Now ,

$\blue{:\leadsto}\orange{y = \dfrac{2×-3+3×7}{2+3}}$

$\blue{:\leadsto}\orange{y = \dfrac{-6+21}{5}}$

$\blue{:\leadsto}\orange{y = \dfrac{15}{5}}$

$\large\green{\boxed{\blue{:\leadsto}\orange{y = 3}}}$

Therefore, the co-ordinates of point p are (1,3)

[Hope this helps you.../]