Description : Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with x axis.
Last Answer : Find the equation of the normal to the curve `y = 5x + x^2` which makes an angle `45^@` with 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 : 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 : When a graph is plotted between log x/m and log p, it is straight line with an angle `45^(@)` and intercept 0.3010 on y - axis. If initial pressure is
Last Answer : When a graph is plotted between log x/m and log p, it is straight line with an angle `45 ... adsorbent : (Report your answer after multiplying by 10)
Description : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is :
Last Answer : Equation of tangent of the curve `y = 1 - e^(x//2)` at that point at which the curve crosses the y-axis, is ... `2x+y = 1` C. `x=-2y` D. None of these
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 : The tangent at any point P of a curve C meeta the x-axis at Q whose abscissa is positive and OP = OQ where O is origin, if C is a family of parabola h
Last Answer : The tangent at any point P of a curve C meeta the x-axis at Q whose abscissa is positive and OP = OQ ... , then find value of `(4(alpha+beta))/a` ?
Description : If the radius of a main curve is 300 m and length of the transition curve is 100 m, the angle with tangent to locate the junction point, is (A) 1° 11' (B) 2° 11' (C) 3° 11' (D) 4° 11'
Last Answer : Answer: Option C
Description : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).
Last Answer : Find the equation of tangent of the curve ` x^(2)+y^(2)=5` at point (1, 2).
Description : If is the length of a sub-chord and is the radius of simple curve, the angle of deflection between its tangent and sub-chord, in minutes, is equal to (A) 573 S/R (B) 573 R/S (C) 1718.9 R/S (D) 1718.9 S/R
Last Answer : (D) 1718.9 S/R
Description : If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection, is (A) 30° (B) 60° (C) 90° (D) 120°
Last Answer : D
Description : The angle of intersection of a curve is the angle between (A) Back tangent and forward tangent (B) Prolongation of back tangent and forward tangent (C) Forward tangent and long chord (D) Back tangent and long chord
Last Answer : (A) Back tangent and forward tangent
Description : In a lemniscate curve the ratio of the angle between the tangent at the end of the polar ray and the straight, and the angle between the polar ray and the straight, is (A) 2 (B) 3 (C) 4/3 (D) 3/2
Last Answer : (D) 3/2
Description : Pick up the correct statement from the following: (A) Long tangent sections exceeding 3 km in length should be avoided (B) Curve length should be at least 150 metres for a deflection angle of 5 ... decrease in the deflection angle, 30 metre length of curve to be increased (D) All the above
Last Answer : Answer: Option D
Description : A non-relativistic enters into a right-handed coordinate space with velocity `10^(4) m s^(-1)` at an angle of `60^(@)` with the x-axis in the xy-plane
Last Answer : A non-relativistic enters into a right-handed coordinate space with velocity `10^(4) m s^(-1)` ... helical trajectory. What is the axis of the helix?
Description : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`
Last Answer : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4` A. ` ... 1+sqrt2)x+(sqrt2-1) pi` D. None of the above
Description : Find the loss angle in degrees when the loss tangent is 1. a) 0 b) 30 c) 45 d) 90
Last Answer : c) 45
Description : The imaginary line drawn in the fluid in such a way that the tangent to any point gives the direction of motion at that point, is known as (A) Path line (B) Stream line (C) Steak line (D) Potential line
Last Answer : Answer: Option B
Description : What is the distance from a point on the x axis to the centre of a circle when a tangent line at the point 3 4 meets the circle of x2 plus y2 -2x -6y plus 5 equals 0?
Last Answer : Circle equation: x^2 +y^2 -2x -6y +5 = 0Completing the squares: (x-1)^2 +(y-3)^2 = 5Centre of circle: (1, 3)Tangent line meets the x-axis at: (0, 5)Distance from (0, 5) to (1, 3) = 5 units using the distanceformula
Description : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point (0, 1) (ii) Curve ` x^(2)-y^(2)` = 20 a
Last Answer : Find the slope of tengents drawn of the following curves at the given points: (i) Curve ` y =x^(3)+1` at point ... 4" ax at point "(a/m^(2),(2a)/m)`
Description : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.
Last Answer : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.
Description : What is the value of y when y equals 2x plus 1.25 is a tangent to the curve y squared equals 10x?
Last Answer : If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x thenit works out that when x = 5/8 then y = 5/2
Description : A body is projected from ground with speed 20 m/s making an angle of `45^(@)` with horizontal. The equation of path is `h = Ax-Bx^(2)`, where h is hei
Last Answer : A body is projected from ground with speed 20 m/s making an angle of `45^(@)` with horizontal. The equation of path ... B. 5 : 1 C. 1 : 40 D. 40 : 1
Description : rays of light strike a horizontal plane mirror at an angle of `45^(@)`. At what angle should be a second plane mirror be placed in order that the refl
Last Answer : rays of light strike a horizontal plane mirror at an angle of `45^(@)`. At what ... ray finally be reflected horizontally from the second mirror.
Description : The tangent to the liquid surface in a level tube, is parallel to the axis of the level tube at (A) Every point of the bubble (B) Either end of the bubble (C) The mid-point of the bubble (D) No where
Last Answer : (C) The mid-point of the bubble
Description : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
Last Answer : Find the equation of normal to the curve `y(x-2)(x-3)-x+7=0` at that point at which the curve meets X-axis.
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 : A beam of protons with a velocity of `4 X 10 ^5 ms^(-1)` enters a uniform magnetic field of 0.3 T. The velocity makes an angle of `60^@` with the magn
Last Answer : A beam of protons with a velocity of `4 X 10 ^5 ms^(-1)` enters a uniform magnetic field of 0.3 T. The ... ` B. `0.012m` C. `0.024m` D. `0.048m`
Description : In a CAD package, mirror image of a 2D point P (5, 10) is to be obtained about a line whichpasses through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be a.(7.5, 5) b.(10, 5) c.(7.5, -5) d.(10, -5)
Last Answer : b.(10, 5)
Description : When a mass is rotating in a plane about a fixed point, its angular momentum is directed along: (1) the tangent to the orbit (2) a line perpendicular to the plane of rotation (3) the line making an angle of 45° to the plane of rotation (4) the radius
Last Answer : (2) a line perpendicular to the plane of rotation
Description : Supply curve passing through any point on Y axis(Price) will have elasticity (a) Less than 1 ; (b) More than 1 ; (c) Just One ; (d) Zero
Last Answer : (b) More than 1
Description : What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?
Last Answer : The line meets the circle when:y = x + c→ x² + y² = 4→ x² + (x + c)² - 4 = 0→ x² + x² +2cx + c² - 4 = 0→ 2x² + 2cx + (c² - 4) = 0If the line is a tangent to the circle, this has a repeatedroot. This occurs ... 2 = 0→ (x + √2)² = 0→ x = -√2→ y = x + 2√2= -√2 + 2√2= √2→ point of contact is (-√2, √2)
Description : A ray of light is incident at an angle of `60^(@)` on one face of a prism of angle `30^(@)`. The ray emerging out of the prism makes an angle of `30^(
Last Answer : A ray of light is incident at an angle of `60^(@)` on one face of a prism of angle `30^(@)` ... of `30^(@)` with the incident ray. The emergent ray is
Description : A point object is held between two plane mirrors inclined at `45^@`. What is the number of images seen ?
Last Answer : A point object is held between two plane mirrors inclined at `45^@`. What is the number of images seen ?
Description : Pick up the correct statement from the following: (A) The tangent screw enables to give small movement under conditions of smooth and positive control (B) Standing on the tripod is the levelling head ... used to tilt the instrument so that its rotation axis is truly vertical (D) All the above
Last Answer : (D) All the above
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 : (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 : The curve given below shows enzymatic activity in relation to three conditions (pH, temperature and substrate concentration). What do the two axes (X and Y) represent? X-axis ... (b) Temperature Enzyme activity (c) Substrate Enzymatic concentration activity (d) Enzymatic activity Temperature
Last Answer : (b) Temperature Enzyme activity
Description : A perfectly elastic supply curve will be (a) Parallel to Y axis or a vertical line ; (b) Parallel to X axis; (c) U shaped ; (d) Downward sloping
Last Answer : the aggregate demand curve
Description : A perfect inelastic supply curve will be (a) Parallel to Y axis or a vertical line ; (b) Parallel to X axis ; (c) U shaped; (d) Downward sloping
Last Answer : (a) Parallel to Y axis or a vertical line ;
Description : Marginal cost curve is (a) Positively sloped ; (b) Negatively sloped ; (c) Parallel to X axis ; (d) Parallel to Y axis
Last Answer : (a) Positively sloped
Description : Long run supply curve of a decreasing cost industry is (a) Downward sloping curve ; (b) Upward sloping curve; (c) Straight line parallel to X axis ; (d) Straight line parallel to y axis
Last Answer : (a) Downward sloping curve ;
Description : Long run supply curve of a constant cost industry is (a) Horizontal line at a price that is equal to the long run minimum average cost of production; (b) Horizontal line overlapping X axis ; (c) Vertical line at mid of X axis ; (d) Vertical line overlapping Y axis
Last Answer : (a) Horizontal line at a price that is equal to the long run minimum average cost of production;
Description : In the bezier curve, the curve is always________to first and last segments of the polygon a.normal b.parallel c.tangent d.none of the above
Last Answer : c.tangent
Description : In the bezier curve, the curve is always to first and last segments of thepolygon a.normal b.parallel c.tangent d.none of the above
Description : For water-ethanol system, the minimum reflux ratio (A) Is computed from the slope of the upper operating line that is tangent to the equilibrium curve (B) Is computed from the intercept of the operating line (C) Cannot be computed (D) Is the optimum reflux ratio
Last Answer : (A) Is computed from the slope of the upper operating line that is tangent to the equilibrium curve
Description : Perpendicular offset from a tangent to the junction of a transition curve and circular curve is equal to (A) Shift (B) Twice the shift (C) Thrice the shift (D) Four times the shift
Last Answer : (D) Four times the shift
Description : If D is the degree of the curve of radius R, the exact length of its specified chord, is (A) Radius of the curve sine of half the degree (B) Diameter of the curve sine of half the ... Diameter of the curve cosine of half the degree (D) Diameter of the curve tangent of half the degree
Last Answer : (B) Diameter of the curve × sine of half the degree