Solution: We know that, (x, … NCERT Solutions for Class 10 Chapter 7 Coordinate Geometry covers all the exercises provided in the NCERT textbook. Download free CBSE Sample paper for Class 10, Math. Access the Formula Sheet of Coordinate Geometry Class 10 covering numerous concepts and use them to solve your Problems effortlessly. Free pdf downloads for maths formulas for class 10 chapter- Coordinate Geometry. \(\begin{align}( {x + y})^2 = x^2 + y^2 + 2xy\end{align}\), \(\begin{align}( {x - y})^2 = x^2 + y^2 - 2xy\end{align}\), \(\begin{align}( {x + y} )( {x - y} ) = x^2 - y^2 \end{align}\), \(\begin{align}(x + y)(x + z) = x^2 + x\,(y + z) + yz \end{align}\), \(\begin{align}(x + y)(x - z) = x^2 + x\,(y - z) - yz \end{align}\), \(\begin{align}x^2 + y^2 = \left( {x + y} \right)^2 - 2xy \end{align}\), \(\begin{align} ( {x + y} )^3 = x^3 + y^3 + 3xy ( {x + y} ) \end{align}\), \(\begin{align} \left( {x - y} \right)^3 = x^3 - y^3 - 3xy\left( {x - y} \right) \end{align}\), \(\begin{align} \left( {x + y + z} \right)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx \end{align}\), \(\begin{align} \left( {x - y - z} \right)^2 = x^2 + y^2 + z^2 - 2xy + 2yz - 2zx \end{align}\), \(\begin{align} {x^3 + y^3 = \left( {x + y} \right)\left( {x^2 - xy + y^2 } \right)} \end{align}\), \(\begin{align} {x^3 - y^3 = \left( {x - y} \right)\left( {x^2 + xy + y^2 } \right)} \end{align}\), \(\begin{align} x^4 - y^4 &= \left( {x^2 } \right)^2 - \left( {y^2 } \right)^2 \\ &= \left( {x^2 + y^2 } \right)\left( {x^2 - y^2 } \right) \\&= \left( {x^2 + y^2 } \right)\left( {x + y} \right)\left( {x - y} \right) \end{align}\), \(\begin{align} \left( {x + y + z} \right)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx \end{align}\), \(\begin{align} \left( {x + y - z} \right)^2 = x^2 + y^2 + z^2 + 2xy - 2yz - 2zx \end{align}\), \(\begin{align} \left( {x - y + z} \right)^2 = x^2 + y^2 + z^2 - 2xy - 2yz + 2zx \end{align}\), \(\begin{align} \left( {x - y - z} \right)^2 = x^2 + y^2 + z^2 - 2xy + 2yz - 2zx \end{align}\), \(\begin{align} x^3 &+ y^3 + z^3 - 3xyz \\&= \begin{bmatrix}\left( {x + y + z} \right) \\ \left( {x^2 + y^2 + z^2 - xy - yz - zx} \right) \end{bmatrix} \end{align}\), \(\begin{align} {a_n = a + (n - 1) \times d} \end{align}\), \(\begin{align} {S_n = \frac{n}{2}\left[ {2a + \left( {n - 1} \right)d} \right]} \end{align}\), \(\begin{align} = \pi \times \left( {R^2 - r^2 } \right) \end{align}\). CBSE Class 10 Maths Formulas | Download PDF. Candidates who are ambitious to qualify the CBSE Class 10 with good score can check this article for Notes. Or that you no longer need to mug up all Maths formulas of Class 10? What if we told you that they can help increase your exam scores? Have a doubt that you want to clear? Vedantu is a platform that provides free CBSE Solutions and other study … This pdf consists of all important formal of chapter Coordinate Geometry prepared by expert of entrancei . In coordinate geometry, the position of a point can be easily defined using coordinates. By using the distance formula we can find the shortest distance i.e drawing a straight line between points. Coordinate Geometry formula of class 10 maths for CBSE , ICSE,NTSE & Other Board Exam . Coordinate Geometry Class 10 NCERT Book: If you are looking for the best books of Class 10 Maths then NCERT Books can be a great choice to begin your preparation. November 4, 2020 November 4, 2020 by Premanand Maharana. Position of a point P in the Cartesian plane with respect to co-ordinate axes is represented by the ordered pair (x, y). x axis is known as abscissa and y—axis is known as ordinate. Point ‗0‘ is called the origin. CBSE Class 10 Maths Coordinate Geometry – Get here the Notes for CBSE Class 10 Maths Coordinate Geometry. Maths formulas for class 10 chapter- Coordinate Geometry Formula . This is possible only when you have the best CBSE Class 10 Maths study material and a smart preparation plan. Here you can get detailed stepwise answers … But the … Download Coordinate Geometry Formulas PDF: Download Now! Our FREE CBSE Class 10 chapter-wise formulas PDF covers the following chapters: Download FREE PDF of Formula Sheets for Class 10, \(\begin{align} {AB = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2 } } \end{align}\), \(\begin{align} {\left( {\frac{{mx_2 + nx_1 }}{{m + n}},\frac{{my_2 + ny_1 }}{{m + n}}} \right)} \end{align}\), \(\begin{align} {\left( {\frac{{x_1 + x_2 }}{2},\;\frac{{y_1 + y_2 }}{2}} \right)} \end{align}\), \(\begin{align} \text{ar}(\Delta A B C)=\frac{1}{2} \times \begin{bmatrix}x_{1}(y_{2}-y_{3})+\\x_{2}(y_{3}-y_{1})+\\x_{3}(y_{1}-y_{2})\end{bmatrix} \end{align}\), \(\begin{align} \sin ^2 A + \cos ^2 A = 1 \end{align}\), \(\begin{align} \tan ^2 A + 1 = \sec ^2 A \end{align}\), \(\begin{align} \cot ^2 A + 1 = {\rm{cosec}}^2 A \end{align}\), \(\begin{align} \tan A = \frac{{\sin A}}{{\cos A}} \end{align}\), \(\begin{align} \cot A = \frac{{\cos A}}{{\sin A}} \end{align}\), \(\begin{align} {\rm{cosec}}\,A = \frac{1}{{\sin A}} \end{align}\), \(\begin{align} \sec A = \frac{1}{{\cos A}} \end{align}\), \(\begin{align} \sin \left( {90^\circ - A} \right) = \cos A \end{align}\), \(\begin{align} \cos \left( {90^\circ - A} \right) = \sin A \end{align}\), \(\begin{align} \tan \left( {90^\circ - A} \right) = \cot A \end{align}\), \(\begin{align} \cot \left( {90^\circ - A} \right) = \tan A \end{align}\), \(\begin{align} \sec \left( {90^\circ - A} \right) = {\rm{cosec}}\,A \end{align}\), \(\begin{align} {\rm{cosec}}\left( {90^\circ - A} \right) = \sec A \end{align}\), \(\begin{align} \frac{1}{2} \end{align}\), \(\begin{align} \frac{1}{{\sqrt 2 }} \end{align}\), \(\begin{align} \frac{{\sqrt 3 }}{2} \end{align}\), \(\begin{align} \frac{1}{{\sqrt 3 }} \end{align}\), \(\begin{align} \frac{2}{{\sqrt 3 }} \end{align}\), \(\begin{align} \theta = \frac{{\left( {180 \times l} \right)}}{{\left( {\pi r} \right)}} \end{align}\), \(\begin{align} = \left( {\frac{\theta }{2}} \right) \times r^2 \end{align}\), \(\begin{align}\theta &= \text{Angle between two radii}\\R &= \text{Radius of outer circle}\\r &= \text{Radius of inner circle}\end{align}\), \(\begin{align} {a_m = \frac{{a_1 + a_2 + a_3 + a_4 }}{4} = \frac{{\sum\limits_0^n a }}{n}} \end{align}\), \(\begin{align} {{\rm{Median}} = l + \left( {\frac{{\frac{n}{2} - cf}}{f}} \right)h} \end{align}\), \(\begin{align} {M_o = l + \left( {\frac{{f_1 - f_0 }}{{2f_1 - f_0 - f_2 }}} \right)h} \end{align}\), \(\begin{align} &ax^2 + bx + c = 0\\ &\text{where }a \ne 0 \end{align}\), \(\begin{align} &P(x) = ax^2 + bx + c \\& \text{ where }a \ne 0 \end{align}\), The Roots of the Quadratic Equations are zeroes, \(\begin{align} b^2 - 4ac = 0 \end{align}\), \(\begin{align} {b^2 - 4ac > 0} \end{align}\), \(\begin{align} {b^2 - 4ac < 0} \end{align}\), \(\begin{align} H^2 = AS^2 + OS^2 \end{align}\), \(\begin{align}H&= \text{Hypotenuse}\\AS&=\text{Adjacent Side}\\OS&=\text{Opposite Side}\end{align}\), Two corresponding sides and an angle are equal, Two corresponding angles and a side are equal, \(\begin{align} l \times b \times h \end{align}\), \(\begin{align} 2h\left( {l + b} \right) \end{align}\), \(\begin{align} 2\left( {lb + bh + hl} \right) \end{align}\), \(\begin{align} \frac{4}{3} \times \pi r^3 \end{align}\), \(\begin{align} 4\pi r^2 \end{align}\), \(\begin{align} 4\pi r^2 \end{align}\), \(\begin{align} \pi r^2 h \end{align}\), \(\begin{align} 2 \times \left( {\pi rh} \right) \end{align}\), \(\begin{align} 2\pi r \times \left( {r + h} \right) \end{align}\), \(\begin{align} \frac{1}{3} \times \begin{bmatrix}\text{Area of }\\\text{the Base}\end{bmatrix} \times h \end{align}\), \(\begin{align} \frac{1}{2} \times p \times L \end{align}\), \(\begin{align} {\text{LSA}} + \begin{bmatrix}\text{Area of }\\\text{the Base}\end{bmatrix} \end{align}\), \(\begin{align} \frac{1}{3} \times \left( {\pi r^2 h} \right) \end{align}\), \(\begin{align} \pi r \times \left( {r + L} \right) \end{align}\), \(\begin{align} \frac{2}{3} \times \left( {\pi r^3 } \right) \end{align}\), \(\begin{align} 2\pi r^2 \end{align}\), \(\begin{align} 3\pi r^2 \end{align}\), \(\begin{align} B \times h \end{align}\), \(\begin{align} p \times h \end{align}\), \(\begin{align} \pi \times r \times \left( {r + L} \right) \end{align}\), \(\begin{align} l &= \text{Length, } \\ h &= \text{Height,} \\ b &= \text{Breadth} \\ r &= \text{Radius of Sphere} \\ L &= \text{Slant Height} \end{align}\), Chapter-3 Pair of Linear Equations in Two Variables, Chapter-9 Some Applications of Trigonometry.
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