Class 10 Ex 6A Coordinate Geometry Q1 to Q5 RS Aggarwal | CBSE | New syllabus | Rajmith study

Book - RS Aggarwal
Book - NCERT
Class - 10
Chapter - Coordinate Geometry
Exercise 6A
Q1 to Q5
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Chapter - Coordinate Geometry
Exercise 6A
Q6 to Q10
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Chapter - Coordinate Geometry
Exercise 6A
Q11 to Q15
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Chapter - Coordinate Geometry
Exercise 6A
Q16 to Q20
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Chapter - Coordinate Geometry
Exercise 6A
Q21 to Q25
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1 : Distance Formula
2 : Section Formula
3 : Area of Triangles

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#cordinategeometry
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DISTANCE BETWEEN TWO POINTS
The distance between two points A(x, y) and B(x, y) is given by
AB = √(x2-x)²+(y2-y₁)².
1. The distance between the points A(x, y) and B(x2, y2) is given by AB=√(x2-x)²+(y₂-Y₁)².
2. The distance of the point P(x, y) from the origin O(0, 0) is given by
OP = √x²+ y².
TWO IMPORTANT NOTES
(i) Any point on the x-axis is of the form (x, 0).
(ii) Any point on the y-axis is of the form (0, y).

PROPERTIES OF VARIOUS TYPES OF QUADRILATERALS
A quadrilateral is a
(i) rectangle if its opposite sides are equal and the diagonals are equal.
(ii) square if all its sides are equal and the diagonals are equal.
(iii) parallelogram if its opposite sides are equal.
(iv) parallelogram but not a rectangle if its opposite sides are equal and the
diagonals are not equal..
(v) rhombus but not a square if all its sides are equal and the diagonals are
not equal.

SECTION FORMULA

DEOREM 2 (Section formula) The coordinates of the point P(x, y) which divides the line segment joining A(x, y) and B(x, y) internally in the ratio m:n are given by

x=mx2+nx1/m+n
y=my2+ny1/m+n

AREA OF A TRIANGLE
The area of a triangle ABC with vertices A(x, y), B(x, y) and C(x,y) is given by
Area(AABC)=1/2(x1 (Y₂-Y3)+X2 (Y3-Y₁) + X3 (y₁−y2)

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1. Find the distance between the points:
(i) A(9, 3) and B(15, 11)
(ii) A(- 6, - 4) and B(9, - 12)
(iii) P(a + b,a - b) and Q(a - b, a + b)
(iv) A(7, - 4) and B(- 5, 1) (iv) A(1, - 3) and B(4,-6)
(v) Plasin a, acoso) and Q(acos a,-asin a)
2 Find the distance of each of the following points from the origin:
(i) f(5, - 12)
(ii) B(- 5, 5) (iii) C(- 4,- 6)
3. Find all possible values of x for which the distance between the points
A(x, - 1) and B(5, 3) is 5 units.
4. Find all possible values of y for which the distance between the points A(2, - 3) and B(10, y) is 10 units..
5. Find the values of x for which the distance between the points f * P(x,4) and Q(9, 10) is 10 units.

[Nilesh__smile]

sir NCERT ka bhi kara dijiye sir please

[Sparkle_Canvas]

But sir the answer of 1)(5) answer is 2√2b units !

[artist_world]

Sir u are reallly great i better understand coordinate geometry thank u so much sir😊😊😊

[priyanshupandey]

One of the best YouTube online study platform of math ever in my life sir your explanation is great, your work diserve five Star ⭐⭐⭐⭐⭐❤❤ because by the help of your am score 75 out of 80 in math 🥰

Thankyou sir🎉

[Sammsimrann]

1 ke 4 me dusri side ke bracket me asin alpha me mines laga hai wo kaha gaya

[jiyariyajiyariya]

Sir Ek doubt h
Q1 ke (vi) part mai jab humne 2a² common liya to vo bracket se bhar akr root se bhar kyu nhi liya gya????

[mayank]

Sir abhi ye batao ki app kabhi (a+b)2 ka formula laga rhe h to kabhi nhi

[Shan_]

I hope in boards exam all have getting good nadks

[runjhunupadhyay]

Q2. Ke 3 ka answer book se match hi nhi kar rha

[Ayush-mw]

Sir Quation 1ka 5number ka answer match nahi kar raha hai book sa😢

[vijjiworld]

Change your handwriting











Sry for saying that :) :(

[priyanshu-bqbz]

Sir can't we transfer 64 to lhs and make it (y+3) ²=36
𝙍𝙚𝙢𝙤𝙫𝙞𝙣𝙜 𝙨𝙦𝙪𝙖𝙧𝙚 𝙛𝙧𝙤𝙢 𝙇. 𝙃. 𝙎
= y+3 =+6;-6
So y=3 or -9