Bissoy.com
Doctors Medicines MCQs Q&A

Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A.

Steps are given to locate the directrix of hyperbola when axis and foci are given. Arrange the steps. i. Draw a line joining A with the other Focus F. ii. Draw the bisector of angle FAF1, cutting the axis at a point B. iii. Perpendicular to axis at B gives directrix. iv. From the first focus F1 draw a perpendicular to touch hyperbola at A. Correct Answer iv, i, ii, iii

The directrix cut the axis at the point of intersection of the angular bisector of lines passing through the foci and any point on a hyperbola. Just by knowing this we can find the directrix just by drawing perpendicular at that point to axis.

Related Questions

Steps are given to draw an ellipse by loop of the thread method. Arrange the steps. i. Check whether the length of the thread is enough to touch the end of minor axis. ii. Draw two axes AB and CD intersecting at O. Locate the foci F1 and F2. iii. Move the pencil around the foci, maintaining an even tension in the thread throughout and obtain the ellipse. iv. Insert a pin at each focus-point and tie a piece of thread in the form of a loop around the pins.
Steps are given to find the normal and tangent for a cycloid. Arrange the steps if C is the centre for generating circle and PA is the directing line. N is the point on cycloid. i. Through M, draw a line MO perpendicular to the directing line PA and cutting at O. ii. With centre N and radius equal to radius of generating circle, draw an arc cutting locus of C at M. iii. Draw a perpendicular to ON at N which is tangent. iv. Draw a line joining O and N which is normal.
Given are the steps to construct regular polygon of any number of sides. Arrange the steps. i. Draw the perpendicular bisector of AB to cut the line AP in 4 and the arc AP in 6 ii. The midpoint of 4 and 6 gives 5 and extension of that line along the equidistant points 7, 8, etc gives the centers for different polygons with that number of sides and the radius is AN (N is from 4, 5, 6, 7, so on to N) iii. Join A and P. With center B and radius AB, draw the quadrant AP iv. Draw a line AB of given length. At B, draw a line BP perpendicular and equal to AB
Steps are given to determine the centre of curvature at a given point on a conic. Arrange the steps. Let P be the given point on the conic and F is the focus. Join P with F. Draw a line NR perpendicular to PN and cutting PF or PF-extended at R. Draw a line RO perpendicular to PR and cutting PN-extended at O which is centre of curvature. At P, draw a normal PN, cutting the axis at N.
Steps are given to locate asymptotes of hyperbola if its axis and focus are given. Arrange the steps. i. Draw a perpendicular AB to axis at vertex. ii. OG and OE are required asymptotes. iii. With O midpoint of axis (centre) taking radius as OF (F is focus) draw arcs cutting AB at E, G. iv. Join O, G and O, E.
Steps are given to determine the centre of curvature at a given point on a hyperbola. Arrange the steps. Let P be the given point on the conic, V is vertex and F and F1 are the foci. i. Draw a line GO parallel to HF and cutting the axis at O. ii. Draw a line F1G inclined to the axis and equal to FV1. iii. Then O is the centre of curvature at the vertex V. iv. On F1G, mark a point H such that HG = VF. Join H with F.
Steps are given to find the axis of a parabola. Arrange the steps. i. Draw a perpendicular GH to EF which cuts parabola. ii. Draw AB and CD parallel chords to given parabola at some distance apart from each other. iii. The perpendicular bisector of GH gives axis of that parabola. iv. Draw a line EF joining the midpoints lo AB and CD.
Steps are given to find focus for a parabola. Arrange the steps. i. Draw a perpendicular bisector EF to BP, Intersecting the axis at a point F. ii. Then F is the focus of parabola. iii. Mark any point P on the parabola and draw a perpendicular PA to the axis. iv. Mark a point B on the on the axis such that BV = VA (V is vertex of parabol
Given are the steps to draw a perpendicular to a line from a point outside the line, when the point is nearer the centre of line. Arrange the steps. Let AB be the line and P be the point outside the line i. Take P as centre and take some convenient radius draw arcs which cut AB at C, D. ii. Join E, F and extend it, which is perpendicular to AB. iii. From C, D with radius R1 (more than half of CD), draw arcs which cut each other at E. iv. Again from C, D with radius R2 (more than R1), draw arcs which cut each other at F.
Steps are given to find the normal and tangent to an epicycloid. Arrange the steps if C is the centre for generating circle and O is the centre of directing cycle. N is the point on epicycloid. i. Draw a line through O and D cutting directing circle at M. ii. Draw perpendicular to MN at N. We get tangent. iii. With centre N and radius equal to radius of generating circle, draw an arc cutting the locus of C at D. iv. Draw a line joining M and N which is normal.