Maths

Example 19 A rod AB of length 15 cm rests in between two coordinate axes in such a way that the end point A lies on x-axis and end point B lies on y-axis. A point P(x, y) is taken on the rod in such a way that AP = 6 cm. Show that the [...]

Example 18 A beam is supported at its ends by supports which are 12 metres apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm? [...]

Example 17 The focus of a parabolic mirror as shown in Fig 11.33 is at a distance of 5 cm from its vertex. If the mirror is 45 cm deep, find the distance AB (Fig 11.33). Example 17 The focus of a parabolic mirror as shown in Fig 11.33 is at a distance of 5 [...]

Example 16 Find the equation of the hyperbola where foci are (0, ±12) and the length of the latus rectum is 36. ±12) and the length of the latus rectum is 36. Example 16 Find the equation of the hyperbola where foci are (0 October 30, 2021 Category: Chapter 11 - Conic Sections , Maths [...]

Example 15 Find the equation of the hyperbola with foci (0, ± 3) and vertices (0, ± sqrt 11/2 ) ± 3) and vertices (0 ± sqrt 11/2 ) Example 15 Find the equation of the hyperbola with foci (0 October 30, 2021 Category: Chapter 11 - Conic Sections , Maths , NCERT Exemplar Class [...]

Example 14 Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas: (ii) y^2 – 16x^2 =16 Example 14 Find the coordinates of the foci and the vertices the eccentricity the length of the latus rectum of the hyperbolas: (ii) y^2 - 16x^2 =16 October [...]

Example 14 Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas: Example 14 Find the coordinates of the foci and the vertices the eccentricity the length of the latus rectum of the hyperbolas: October 30, 2021 Category: Chapter 11 - Conic Sections , Maths [...]

Example 13 Find the equation of the ellipse, with major axis along the x-axis and passing through the points (4, 3) and (– 1,4). 3) and (– 1 4 Example 13 Find the equation of the ellipse with major axis along the x-axis and passing through the points (4 October 30, 2021 Category: Chapter 11 [...]

Example 12 Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0, ± 5). ± 5). Example 12 Find the equation of the ellipse whose length of the major axis is 20 and foci are (0 October 30, 2021 Category: Chapter 11 - Conic Sections , Maths [...]

Example 11 Find the equation of the ellipse whose vertices are (± 13, 0) and foci are (± 5, 0). 0 ) 0) and foci are (± 5 Example 11 Find the equation of the ellipse whose vertices are (± 13 October 30, 2021 Category: Chapter 11 - Conic Sections , Maths , NCERT Exemplar [...]