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Class 9 Math Introduction to Coordinate Geometry


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3.ProvethatmidpointofthehypotenuseofarighttriangleisequidistantfromitsthreeverticesP(25)Q(13)andR(10).3. Prove that mid-point of the hypotenuse of a right triangle is equidistant from its three vertices \mathrm{P}(-25) \mathrm{Q}(13) and \mathrm{R}(-10) .

2. Show that the points \mathrm{A}(-10) \mathrm{B}(10) and \mathrm{N}(0 \sqrt{3}) are not collinear.
2. Show that the points  \mathrm{A}(-10) \mathrm{B}(10)  and  \mathrm{N}(0 \sqrt{3})  are not collinear.

2.ShowthatthepointsA(10)B(10)andN(03)arenotcollinear.2. Show that the points \mathrm{A}(-10) \mathrm{B}(10) and \mathrm{N}(0 \sqrt{3}) are not collinear.

3. Find the distance between the following pairs of points.(iii) (00)(-4-3)
3. Find the distance between the following pairs of points.(iii)  (00)(-4-3)

3.Findthedistancebetweenthefollowingpairsofpoints.(iii)(00)(43)3. Find the distance between the following pairs of points.(iii) (00)(-4-3)

ExampleUsing distance formula show that the points(ii) The above points P Q R and S(1-1) are not collinear.
ExampleUsing distance formula show that the points(ii) The above points  P Q R  and  S(1-1)  are not collinear.

ExampleUsingdistanceformulashowthatthepoints(ii)TheabovepointsPQRandS(11)arenotcollinear.ExampleUsing distance formula show that the points(ii) The above points P Q R and S(1-1) are not collinear.

3. Find the distance between the following pairs of points.(i) (63)(3-3)
3. Find the distance between the following pairs of points.(i)  (63)(3-3)

3.Findthedistancebetweenthefollowingpairsofpoints.(i)(63)(33)3. Find the distance between the following pairs of points.(i) (63)(3-3)

1. Find the distance between the following pairs of points.(b) \mathrm{A}(2-6) \mathrm{B}(3-6)
1. Find the distance between the following pairs of points.(b)  \mathrm{A}(2-6) \mathrm{B}(3-6)

1.Findthedistancebetweenthefollowingpairsofpoints.(b)A(26)B(36)1. Find the distance between the following pairs of points.(b) \mathrm{A}(2-6) \mathrm{B}(3-6)

(ii) Distance between the points (10) and (01) is(a). 0(b) 1(c) \sqrt{2} (d) 2
(ii) Distance between the points  (10)  and  (01)  is(a). 0(b) 1(c)  \sqrt{2} (d) 2

(ii)Distancebetweenthepoints(10)and(01)is(a).0(b)1(c)2(d)2(ii) Distance between the points (10) and (01) is(a). 0(b) 1(c) \sqrt{2} (d) 2

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