WebSince the coordinate axes meet at right angles, the lines that are equally inclined will be making 45 ∘ and 135 ∘ to both the axes. So the slope is 1 and - 1. ⇒ y = x and y = - x So, there will be 2 lines that are equally inclined to both the axes. Hence, option (C) is the correct answer. Suggest Corrections 2 Similar questions Q.
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WebBut note that ( l, m, n) and (-l , -m , -n ) represent the directionla.cosine's of the same line on the 2 sides of coordinate axis. Since there are four different groups of signs, so there can be four different lines which makes equal angles with axes ANs = 4. Suggest Corrections. 4. WebA. Draw 5 equally-spaced inclined lines normal to the given line B. Draw 5 equally spaced inclined lines parallel to the given line C. Draw a circle that circumscribed the given triangle and locate its center D. Draw a circular arc with radius 30 mm that passes through the point and tangent to the line AB XC
WebCorrect option is B) Let l,m,n be the directional cosines of the line. We know that l2 +m2 +n2 = 1 Since the line is equally inclined to all the axes, l = m= n Solving the two above equations we get, l = m= n= 31 Hence the angle made be the line with any axis is, cos−1 ( 31) Video Explanation Solve any question of Three Dimensional Geometry with:- WebThe equation of straight line equally inclined to the axes and equidistant from the points ( 1, - 2) and ( 3, 4) is a x + b y + c = 0 where: A a = 1, b = 1, c = 1 B a = 1, b = - 1, c = - 1 …
WebThe curve has only one tangent at each point! And inclined equally to what? And to what axis? $\endgroup$ – Harald Hanche-Olsen. Jan 19, 2013 at 17:57 ... where it was written $\,a^3/2\,$ and not the edited one of $\,a^{3/2}\,$ . Nevertheless, following the general lines of the above one can reach the answer to the new question. $\endgroup ... Webthe line equally inclined to the lines 3x=4y+7,5y=12x+6 means the angle between the required line and the two lines is equalassume the slop of the required equation is m1. …
WebStraight line equally inclined to the axis, Hence θ = 45° or 135° ⇒ m = tan θ. So, slope is ± 1. Middle point of the line joining points (1, - 2) and (3, 4) is (2, 1) which lies on line. …
WebJan 20, 2024 · Equally inclined lines mean lines which are inclined at the same angle with respect to the x-axis. The lines in the given figure are inclined at 45o with respect to the x-axis. What is the angle between two coordinates axis? As we know that x−axis and y−axis intersect to each other at point O and perpendicular to each other. So, the angle ... choctaw gift to the irishWebIf the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4 . find the value of m . Class 11 >> Applied Mathematics >> Straight lines >> Angle between two lines >> If the lines y = 3x + 1 and 2y = x Question if the lines y=3x+1 and 2y=x+3 are equally inclined to the line y= mx+4, then m= Solution Verified by Toppr choctaw general physical therapyWebYou’ve stated a condition for an arbitrary pair of lines to be orthogonal in the given coordinate system, so it’s not terribly surprising that there’s a left-over free variable. In … gray horse farms llcWebQ. Find the equation of the straight line equally inclined to the lines, 3 x = 4 y + 7 and 5 y = 12 x + 6. Q. Find the angle between the two straight lines 3 x = 4 y + 7 and 5 y = 12 x + 6 and also the equations to the two straight lines which pass through the point ( 4 , 5 ) and make equal angles with the two given lines. choctaw gilleysWebMar 6, 2024 · Show that the equation of a straight line through the point (3, 4, 5) which is equally inclined to the axes are x-3=y-4=z-5. Solution: If \cos \alpha ,\,\cos \beta ,\,\cos … choctaw genealogyWebFind the equation of a straight line passing through the point (4,5) and equally inclined to the lines 3x=4y+7 and 5y=12x+6. A 9x−7y=1;7x+9y=73 B 2x−2y=1;5x+7y=45 C 3x−6y=4;3x+4y=14 D 4x−2y=1;6x−8y=63 Medium Solution Verified by Toppr Correct option is A) Let the Slope of line be m Now, slope of other lines are 43, 512 gray horse farm brimfield ilWebMar 6, 2024 · Show that the equation of a straight line through the point (3, 4, 5) which is equally inclined to the axes are x-3=y-4=z-5. Solution: If \cos \alpha ,\,\cos \beta ,\,\cos \gamma be the direction cosines of the straight line, then \alpha =\beta =\gamma \[i.e.,\,\cos \alpha =\,\cos \beta =\,\cos \gamma \] Therefore the equations of the line are choctaw girls basketball