Page No 241:
Question 15:
Does the point (–2.5, 3.5) lie inside, outside or on the circle x2 + y2 = 25?
Page No 246:
Question 1:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y2 = 12x
Page No 246:
Question 2:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x2 = 6y
Page No 246:
Question 3:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y2 = – 8x
Page No 246:
Question 4:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x2 = – 16y
Page No 246:
Question 5:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for y2 = 10x
Page No 246:
Question 6:
Find the coordinates of the focus, axis of the parabola, the equation of directrix and the length of the latus rectum for x2 = –9y
Page No 247:
Question 7:
Find the equation of the parabola that satisfies the following conditions: Focus (6, 0); directrix x = –6
Page No 247:
Question 8:
Find the equation of the parabola that satisfies the following conditions: Focus (0, –3); directrix y = 3
Page No 247:
Question 9:
Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0); focus (3, 0)
Page No 247:
Question 10:
Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) focus (–2, 0)
Page No 247:
Question 11:
Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0) passing through (2, 3) and axis is along x-axis
Page No 247:
Question 12:
Find the equation of the parabola that satisfies the following conditions: Vertex (0, 0), passing through (5, 2) and symmetric with respect to y-axis
Page No 255:
Question 1:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 2:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 3:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 4:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 5:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 6:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse ![]()
Page No 255:
Question 7:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 36x2 + 4y2 = 144
Page No 255:
Question 8:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 16x2 + y2 = 16
Page No 255:
Question 9:
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse 4x2 + 9y2 = 36
Page No 255:
Question 10:
Find the equation for the ellipse that satisfies the given conditions: Vertices (±5, 0), foci (±4, 0)
Page No 255:
Question 11:
Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ±13), foci (0, ±5)
Page No 255:
Question 12:
Find the equation for the ellipse that satisfies the given conditions: Vertices (±6, 0), foci (±4, 0)
Page No 255:
Question 13:
Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (±3, 0), ends of minor axis (0, ±2)
Page No 255:
Question 14:
Find the equation for the ellipse that satisfies the given conditions: Ends of major axis
, ends of minor axis (±1, 0)
Page No 255:
Question 15:
Find the equation for the ellipse that satisfies the given conditions: Length of major axis 26, foci (±5, 0)
Page No 255:
Question 16:
Find the equation for the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0, ±6)
Page No 255:
Question 17:
Find the equation for the ellipse that satisfies the given conditions: Foci (±3, 0), a = 4
Page No 255:
Question 18:
Find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin; foci on the x axis.
Page No 255:
Question 19:
Find the equation for the ellipse that satisfies the given conditions: Centre at (0, 0), major axis on the y-axis and passes through the points (3, 2) and (1, 6).
Page No 255:
Question 20:
Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4, 3) and (6, 2).
Page No 262:
Question 1:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola![]()
Page No 262:
Question 2:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola![]()
Page No 262:
Question 3:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 9y2 – 4x2 = 36
Page No 262:
Question 4:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 16x2 – 9y2 = 576
Page No 262:
Question 5:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 5y2 – 9x2 = 36
Page No 262:
Question 6:
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola 49y2 – 16x2 = 784
Page No 262:
Question 8:
Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±5), foci (0, ±8)
Page No 262:
Question 9:
Find the equation of the hyperbola satisfying the give conditions: Vertices (0, ±3), foci (0, ±5)
Page No 262:
Question 10:
Find the equation of the hyperbola satisfying the give conditions: Foci (±5, 0), the transverse axis is of length 8.
Page No 262:
Question 11:
Find the equation of the hyperbola satisfying the give conditions: Foci (0, ±13), the conjugate axis is of length 24.
Page No 262:
Question 12:
Find the equation of the hyperbola satisfying the give conditions: Foci
, the latus rectum is of length 8.
Page No 262:
Question 13:
Find the equation of the hyperbola satisfying the give conditions: Foci (±4, 0), the latus rectum is of length 12
Page No 262:
Question 14:
Find the equation of the hyperbola satisfying the give conditions: Vertices (±7, 0), ![]()
Page No 262:
Question 15:
Find the equation of the hyperbola satisfying the give conditions: Foci
, passing through (2, 3)
Page No 264:
Question 2:
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?