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CBSE - Class 11 > Mathematics > Conic Sections Worksheets

Free CBSE - Class 11 Mathematics - Conic Sections worksheets

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1.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
14. vertices (± 7,0), $e$ = $frac{4}{3}$.
2.
In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
15. Foci (0, ±$sqrt{10}$ ), passing through (2,3)
3.
If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
4.
An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola?
5.
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
6.
An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end.
7.
A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point P on the rod, which is 3 cm from the end in contact with the $x$-axis.
8.
Find the area of the triangle formed by the lines joining the vertex of the parabola $x^2$ = 12$y$ to the ends of its latus rectum.
9.
A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
10.
An equilateral triangle is inscribed in the parabola $y^2$ = 4$ax$, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
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Chapters in CBSE - Class 11 Mathematics

Binomial Theorem Worksheet Complex Numbers Worksheet Introduction to Three Dimensional Geometry Worksheet Limits and Derivatives Worksheet Linear Inequalities Worksheet Mathematics Worksheet Permutations and Combinations Worksheet Probability Worksheet Relations and Functions Worksheet Sequences and Series Worksheet Sets Worksheet Statistics Worksheet Straight Lines Worksheet Trigonometric Functions Worksheet

Free Conic Sections Worksheets

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Top Concept Videos in Mathematics Conic Sections

Conic Sections Parabola Ellipse Hyperbola video thumbnail

Conic Sections Parabola Ellipse Hyperbola

CBSE - Class 11>Mathematics>Conic Sections

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Standard Equations of Conic Sections

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