mathematics

Parin Sir > mathematics
13
Aug
Index of Co–Ordinate Geometry
  1. Introduction
  2. Line
    1. Equation of  a line
    2. <...
      Share
Posted in: Index of Co–Ordinate Geometry,
Tags: theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes,
13
Aug
Examples 21 to 23 of Co–Ordinate Geometry
  1. Find the no. of common tangent to x2 + y2 =  4  and x2 + y2 –  8y + 12 = 0.

Soln. The centre of  the first circle is  C1(0, 0…

Share
Posted in: Examples 21 to 23 of Co–Ordinate Geometry,
Tags: education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples,
13
Aug
Examples 16 to 20 of Co–Ordinate Geometry
  1. Find the perpendicular distance between two lines 3x + 4y – 2 = 0 and 6x + 8y – 1 = 0.

Soln. Here, both the lines are 6x + 8y – 4 = 0  and  6x + 8y – 1 = 0.

∴  p   = 

Share
Posted in: Examples 16 to 20 of Co–Ordinate Geometry,
Tags: online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS,
13
Aug
Examples 11 to 15 of Co–Ordinate Geometry
  1. In a rectangle ABCD, if B (3, 1) and D (7, 5) are the endpoints of diagonal \overline{\mathrm{BD}}. If slope of 
    Share
Posted in: Examples 11 to 15 of Co–Ordinate Geometry,
Tags: tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example,
13
Aug
Examples 1 to 5 of Co–Ordinate Geometry
  1. The distance between (a, 0) and (0, a) is …………..

Soln. Distance   =  \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Share
Posted in: Examples 1 to 5 of Co–Ordinate Geometry,
Tags: maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin,
13
Aug
Examples 6 to 10 of Co–Ordinate Geometry
  1. If the co–ordinates of centroid of  Δ ABC  with  A (4, 2), B (2, 2a) and C (0, 2) are equal, then find the value of  a.

 Soln. Centroid G  = 

Share
Posted in: Examples 6 to 10 of Co–Ordinate Geometry,
Tags: educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math,
13
Aug
Orthogonal Curves

☼ Orthogonal Curves  :   If  the tangents of  both the curves at their point of  intersection are perpendicular to each other, then the both curves are called orthogonal curves.

↦ Two circles S : x2  + …

Share
Posted in: Orthogonal Curves,
Tags: mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir,
13
Aug
Length of  a Tangent

☼ Length of  a Tangent :–

 Two tangents to a circle can be drawn from a point lying in the exterior of the circle.

In this case,

  • PT1 =   PT2
  • PC bisects 
    Share
Posted in: Length of  a Tangent,
Tags: ganit, dakhla, Mehta, concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai,
13
Aug
Tangent

☼ Tangent :–

 (i) Equation of  a tangent to a circle S : x2 +  y2 =   r2 at point M ( x1, y1 ) is  x1x +  y1y =   r2. And  eq…

Share
Posted in: Tangent,
Tags: concept, formula, maheta, proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta,
13
Aug
The relation between  a circle S

☼ The relation between  a circle S : x2 + y2 + 2gx + 2fy + c = 0 = 0  and a point  (x1, y1)  in its plane :

(i) If 

Share
Posted in: The relation between  a circle S,
Tags: proof, sutra, classes, theorem, sutr, class, theorems, Examples, education, definition, SUMS, online, definitions, example, tutorial, fundamental, math, educational, basic, Parin, maths, base, sir, mathematics, sum, bhai, ganit, dakhla, Mehta, concept, formula, maheta,