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?