Description : Find the inclination from X-axis of the tangent drawn of the following curves at the given points: (i) Curve`x^(2)-2y^(2)=8` at point (4, 2) (ii) Curv
Last Answer : Find the inclination from X-axis of the tangent drawn of the following curves at the given points: (i) Curve`x^(2)- ... `y^(2)=2x^(3)` at point (2, 4)
Description : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^(2), 2at)`. (ii) Curve `y= e^(x)" at poi
Last Answer : Find the equation of normals of the following curves at the given points: (i) Curve`y^(2)=4 ax" at point "(at^( ... (2)-9y^(2) = 432` at point (6, 4).
Description : Find the equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) (ii) Curve `y = 2x^(3) + 2x^(2) - 8x+
Last Answer : Find the equation of tangents of the following curves at the given points: (i) Curve`x^(2) = 25` at point (3, 4) ... 2)(x-1) = 4x^(2)` at point (5, 5)
Description : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at origin. (ii) Find the points on the curve`4x^(2)+9 y^(2
Last Answer : (i) Find the co-ordinates of the points on the curve xy = 16 at which the normal drawn meet at ... ` at which the normal drawn is parallel to X-axis.
Description : Which of the following statement(s) is/are correct with reference to curve generation? I. Hermite curves are generated using the concepts of interpolation. II. Bezier curves are generated using the concepts of approximation. III. The ... (B) II and III only (C) I and II only (D) I, II and III only
Last Answer : (D) I, II and III only
Description : In synthetic curves, first-order continuity yields a.a position continuous curve b.a slope continuous curve c.a curvature continuous curve d.none of the above
Last Answer : b.a slope continuous curve
Description : In synthetic curves, zero-order continuity yields a.a position continuous curve b.a slope continuous curve c.a curvature continuous curve d.none of the above
Last Answer : a.a position continuous curve
Description : In synthetic curves, second-order continuity yields a.a position continuous curve b.a slope continuous curve c.a curvature continuous curve d.none of the above
Last Answer : c.a curvature continuous curve
Description : When acetone is added in a two layer mixture of methyl isobutyl ketone and water at 30°C, the acetone distributes between the two layers and the composition of the layer follows two solubility curves. For this system ... at the concentration of the plait point (D) All (A), (B) and (C
Last Answer : (D) All (A), (B) and (C
Description : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve
Last Answer : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve A. `x^(2) ... x^(2)=x^(2)y^(2)` D. None of these
Description : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.
Last Answer : Find the point on the curve` y^(2) = x` at which the tangent drawn makes an angle of `45^(@)` from X-axis.
Description : Find the co-ordinates of that point on the curve `x^(2)/a^(2)+y^(2)/b^(2) = 1` at which the tangent drawn is parallel to Y-axis.
Last Answer : Find the co-ordinates of that point on the curve `x^(2)/a^(2)+y^(2)/b^(2) = 1` at which the tangent drawn is parallel to Y-axis.
Description : Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.
Last Answer : Find the co-ordinates of that point on the curve`y^(2)=x^(2)(1-x)` at which the tangent drawn is perpendicular to X-axis.
Description : Find the co-ordinates of that point on the curve `x^(3)+y^(3)= a^(3)` at which the tangent drawn is parallel to X-axis.
Last Answer : Find the co-ordinates of that point on the curve `x^(3)+y^(3)= a^(3)` at which the tangent drawn is parallel to X-axis.
Description : A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle `x² + y^2 = 4.` Then, The locus
Last Answer : A parabola is drawn through two given points `A(1,0)` and `B(-1,0)` such that its directrix always touches the circle ... `(x^(2))/(5)+(y^(2))/(4)=1`
Description : The torque and current curves for a three-phase induction motor with a cage rotor, are shown in the illustration. Which of the following statements is true concerning the depicted curves? EL-0056 A. As slip ... D. If the motor is loaded to the point where 40% slip has resulted, it will stall.
Last Answer : Answer: D
Description : Transition curves are introduced at either end of a circular curve, to obtain (A) Gradually decrease of curvature from zero at the tangent point to the specified quantity at the junction of the ... specified amount at the junction of the transition curve with main curve (D) None of these
Last Answer : (B) Gradual increase of super-elevation from zero at the tangent point to the specified amount at the junction of the transition curve with main curve
Description : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.
Last Answer : Find the equation of tangent of the curve `9x^(2)+16y^(2) = 144` at those points at which tangents are parallel to (i) X-axis, (ii) Y-axis.
Description : In case of a double line river, contours are (A) Stopped at the banks of the river (B) Stopped at the edge of the river (C) Drawn across the water (D) Drawn by parabolic curves having their vertex at the centre of the water
Last Answer : (B) Stopped at the edge of the river
Description : The minimum ratio of the radii of two circular curves of a compound curve, is kept (A) 1.25 (B) 1.5 (C) 1.75 (D) 2.0
Last Answer : Answer: Option B
Description : The slope on the road generally provided on the curves is known as a.Angle of repose b.Angle of friction c.Angle of banking d.Angle of reaction e.None of the above
Last Answer : c. Angle of banking
Description : Given below graphs an oxygen dissociation curve `:-` Where in the body will haemoglobin be saturation at the percentage shown at points X,Y and Z.
Last Answer : Given below graphs an oxygen dissociation curve `:-` Where in the body will haemoglobin be ... ventricle , Y-Right ventricle, Z-Systemic artery
Description : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
Last Answer : Find the equation of normal to the curves `x=t^2, y=2t+1` at point
Description : Which of the following is NOT closely associated with a non-magnetic Phase Diagram? w) Eutectic Temperature (pron: you-tek-tik) x) Curie Point y) Solidus z) Liquidus Curves
Last Answer : ANSWER: X -- CURIE POINT
Description : X and y are points on the side LN of the triangle LMN , such that LX = XY = YN . Through X, a line is drawn parallel to LM to meet MN at Z. -Maths 9th
Last Answer : Here, △XZM and △XZL are on the same base (XZ) and lie between the same parallels (XZ || LM). ∴ ar(△XZL) = ar( △XZM) Adding ar(△XZY) on both sides , we have ar(△XZL) + ar(△XZY) = ar(△XZM) + ar(△XZY) ⇒ ar(△LZY) = ar(quad.MZYX)
Description : To determine the discharge at a section in a stream from its rating curve, the required data are (i) Slope of water surface at the section (ii) Stage at the section (ii) Current meter readings at the section The correct ... ) (i) and (ii) (B) (ii) and (iii) (C) Only (ii) (D) Only (iii)
Last Answer : Answer: Option C
Description : curves allow local control of the curve a.Analytical b.Hermite cubic spline c.Beizer d.B-Spline
Last Answer : d.B-Spline
Description : If the radii of a compound curve and a reverse curve are respectively the same, the length of common tangent (A) Of compound curve will be more (B) Of reverse curve will be more (C) Of both curves will be equal (D) None of these
Description : The type of curves generally provided on highways, is (A) Critical curve (B) Transition curve (C) Vertical curve (D) All the above
Last Answer : Answer: Option D
Description : If L is the length of a moving vehicle and R is the radius of curve, the extra mechanical width b to be provided on horizontal curves, (A) L/R (B) L/2R (C) L²/2R (D) L/3R
Description : .All of the following curves are U-shaped, except the (a) AFC curve (b) MC curve © AC curve (d) AVC curve
Last Answer : (a) AFC curve
Description : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
Last Answer : Find the equation of normal of the curve `2y= 7x - 5x^(2)` at those points at which the curve intersects the line x = y.
Description : Find the coordinates of the points on the curve `y=x^2+3x+4,` the tangents at which pass through the origin.
Last Answer : Find the coordinates of the points on the curve `y=x^2+3x+4,` the tangents at which pass through the origin.
Description : A particle moves along the curve `6y = x^3 + 2`. Find the points on the curve at which y-co-ordinate is changing 8 times as fast as the x-co-ordinate.
Last Answer : A particle moves along the curve `6y = x^3 + 2`. Find the points on the curve at which y-co-ordinate is changing 8 times as fast as the x-co-ordinate.
Description : What are the points of intersection of the line 2x plus 5y equals 4 with the curve y squared equals x plus 4?
Last Answer : If: 2x +5y = 4 then 25y^2 = 4x^2 -16x +16If: y^2 = x +4 then 25y^2 = 25x +100So: 4x^2 -16x +16 = 25x +100Transposing terms: 4x^2 -41x -84 = 0Factorizing the above: (4x+7)(x-12) = 0 meaning x = -7/4 or x =12By substitution into original equation points of intersection:(-7/4, 3/2) and (12, -4)
Description : What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5 showing work?
Last Answer : If: x -y = 2 then x^2 = (2+y)^2 => 4+4y+y^2If: x^2 -4y^2 = 5 then x^2 = 5+4y^2So: 5+4y^2 = 4+4y+y^2Transposing terms: 3y^2 -4y +1 = 0Factorizing the above: (3y-1)(y-1) = 0 meaning y = 1/3 or y =1By substitution contacts are made at: (7/3, 1/3) and (3, 1)
Description : A curve that goes through all the tangency points of an x and y isoquants in a Edgeworth Box is called (a) Indifference curve (b) Trade indifference curve (c) Offer curve (d) Contract curve
Last Answer : Offer curve
Description : If is the difference in level between end points separated by , then the slope correction is [(h²/2l) + (h 4 /8l3 )]. The second term may be neglected if the value of in a 20 m distance is less than (A) ½ m (B) 1 m (C) 2 m (D) 3 m
Last Answer : (D) 3 m
Description : QFor generating Coons patch we require a.A set of grid points on surface b.A set of control points c.Four bounding curves defining surface d.Two bounding curves and a set of grid control points
Last Answer : c.Four bounding curves defining surface
Description : The distance between the towns is only 30 kms as the crow flies. (1) when measured in a straight line (2) when measured in a random manner (3) when measured between the two highest points (4) when the curves of the road are included in the measurement
Last Answer : 1) when measured in a straight line
Description : The disconnected lines drawn on a map for showing slope- (1) Bench marks (2) Contours (3) Form lines (4) Hachure
Last Answer : (4) Hachure Explanation: Hachures are short disconnected lines drawn on the map to depict the slope of the ground surface. They are drawn in rows; each row being disconnected from the other. They ... gentler slopes. Hachures are not drawn for leveled areas, such as flat valley or a plateau top.
Description : In a purely cohesive soil, the critical centre lies at the intersection of (A) Perpendicular bisector of slope and the locus of the centre (B) Perpendicular drawn at 1/3rd slope from toe and the ... C) Perpendicular drawn at 2/3rd slope from toe and the locus of the centre (D) Directional angles
Description : The disconnected lines drawn on a map for showing slope (1) Bench marks (2) Contours (3) Form lines (4) Hachure
Last Answer : Hachure
Description : The minimum liquid rate to be used in an absorber corresponds to an operating line (A) Of slope = 1 (B) Of slope = 0.1 (C) Tangential to the equilibrium curve (D) None of these
Last Answer : (C) Tangential to the equilibrium curve
Description : If the slope of a line for infiltration capacity curve is 1/1.737, the value of constant k in Horton's equation of infiltration capacity curve, is (A) 2.0 (B) 2.5 (C) 4.0 (D) 5.0
Description : An intersection is a point where two or more lines/curves meet or cross. How many intersections are there in the figure given below?
Last Answer : 17
Description : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Last Answer : Find the angle of intersection of the curves `x y=a^2a n dx^2+y^2=2a^2`
Description : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2)=1` is
Last Answer : The minimum distance between the curves `y=tanx, AA x in (-(pi)/(2),(pi)/(2)) and (x-2-(pi)/(4))^(2)+y^(2 ... )-1` B. `sqrt(5)+1` C. `sqrt(2)-1` D. 2`
Description : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then
Last Answer : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then A. 18 B. 19 C. 22 D. 20