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Defintiona , Formulas and Intruduction to chapter 11 Conic Section
Circle : definition and formula | Formula of radius and coordinate of center of circle |
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1-4 |
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EXERCISE 11.1
find the equation of the circle with center and radius is given |
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5 |
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how to find equation of a circle with center and radius |
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6 |
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find the centre and radius of the circles (x + 5) 2 + (y – 3) 2 = 36 |
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9 |
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Find equation of circle passing through points and and whose centre is on line |
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12 |
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Find the equation of the circle with radius 5 whose centre lies on x axis and |
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13 |
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Find the equation of the circle passing through a point and making intercepts on coordinate axes |
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14 |
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Find the equation of a circle with given center and passes through a given point |
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15 |
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CIRCLE: How to calculate that given point is out side or inside or on the line of circle |
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Fefinitions and formulas of Parabola
PARABOLA | formula and definitions of parabola | Latus rectum of a parabola |
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1-6 |
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EXERCISE 11.2
find the coordinates of the focus, axis of the parabola, the equation of the directrix |
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7-12 |
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how to find equation of parabola with vertex and focus and directrix |
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find equation of parabola whose vertex passing through and symmetric with respect to y-axis. |
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Formulas and definitions of Ellipse
Ellipse| formulas| efinitions | latus rectum | eccentricity |
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1-7 |
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EXERCISE 11.3
Find coordinates of foci, vertices, length of major axis and minor axis, eccentricity and length |
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8-9 |
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find eccentricity length of the latus rectum of the ellipse |
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10 |
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Find equation for the ellipse whose vertex and foci are given Vertices (± 5, 0), foci (± 4, 0) |
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How to find equation for the ellipse whose mazor and minor axis are given |
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ncert solution for class 11 mathematics conic section chapter 11 |
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ncert solutions for class 11 chapter 11 ellipse |
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ncert solutions online classes free videos |
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ncert videos free for class 11 cbse board |
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19 |
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How to find equation for ellipse whose centre at major axis on y-axis and passes through points and |
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20 |
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find the equation for the ellipse whose Major axis on the x axis and passes through the points |
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Defitions, formulas and Introductuction to Hyperbola
Hyperbola : definition | formulas | Eccentricity of hyperbola | Eccentricity of hyperbola |
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1-6 |
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EXERCISE 11.4
HYPERBOLA : find the coordinates of the foci vertices, eccentricity, length of latus rectum |
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7 |
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find the equations of the hyperbola whose Vertices (± 2, 0), foci (± 3, 0) |
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12 |
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find equation of hyperbola foci (± 3root 5 ,0) and length of latus rectume is 8 |
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14 |
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find the equation of hyperbola whose vertices (± 7,0), eccentricity e = 4/3 |
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E |
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Example 17 : Focus of a parabolic mirror is at a distance of 5 cm from its vertex. If the mirror is 45 cm deep |
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E |
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Example 18 : A beam is supported at its ends by supports which are 12 metres apart Since the load is conce |
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E |
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Example 19 : A rod AB of length 15 cm rests in between two coordinate axes in such a way that the end point |
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Miscellaneous Exercise on Chapter 11
If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus |
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An arch is in the form of a parabola with its axis vertical The arch is 10 m high |
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The cable of a uniformly loaded suspension bridge hangs in the form of a parabola |
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An arch is in the form of a semi ellipse It is 8 m wide and 2 m high at the centre |
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A rod of length 12 cm moves with its ends always touching the coordinate axes |
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Find the area of the triangle formed by the lines joining the vertex of the parabola |
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7 |
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A man running a racecourse notes that the sum of the distances from the two flag |
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An equilateral triangle is inscribed in the parabola y2 = 4 ax, where one vertex is at the vertex |
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