Description : Two lines L1 and L2 having Parametric equations are P1=[3 4 7]+u[2 2 -6] and P2=[15 -2]+u[1 4 2]. Tangent vector for line L1 a.2i+2j-6k b.2i+2j+6k c.2i-2j-6k d.6-2j-2k
Last Answer : a.2i+2j-6k
Description : Find coordinates of points on line having end points P1(3,5,8) and P2 (6,4,3) at u=0.25 a.[3.75 4.25 6.25] b.[3.25 4.25 6.25] c.[3.75 4.75 6.75] d.[4.25 3.75 6.25]
Last Answer : c.[3.75 4.75 6.75]
Description : Write parametric equation of line having end points P1(3,5,8) and P2 (6,4,3). a.[3 5 8]+u[3 -1 -5] b.[3 5 8]+u[3 1 5] c.[3 8 5]+u[3 -1 -5] d.[3 5 8]+u[-3 1 5]
Last Answer : a.[3 5 8]+u[3 -1 -5]
Description : In a 2-D CAD package, clockwise circular arc of radius, 5, specified from P1 (15,10)to P2 (10,15)will have its center at a.(10, 10) b.(15, 10) c.(15, 15) d.(10, 15)
Last Answer : a.(10, 10)
Description : Two lines are parallel when a.P1 X P2=0 b.P1 . P2=0 c.P1 = P2 d.P1+ P2=0
Last Answer : a.P1 X P2=0
Description : The unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is a) (-j – k)/1.414 b) (-i – k)/1.414 c) (-i – j)/1.414 d) (-i – j – k)/1.414
Last Answer : a) (-j – k)/1.414
Description : Find a vector normal to a plane consisting of points p1(0,1,0), p2(1,0,1) and p3(0,0,1) a) –j – k b) –i – j c) –i – k d) –i – j – k
Last Answer : a) –j – k
Description : For Q 45, Tangent vector for line L2 a.i+4j-k b.2i+4j+k c.i-4j-2k d.i+4j+2k
Last Answer : d.i+4j+2k
Description : The unit vector in the direction of the line is defined as . a.tangent vector+length of the line b.tangent vector-length of the line c.tangent vector/length of the line d.length of the line/tangent vector
Last Answer : c.tangent vector/length of the line
Description : There are 1.36 kg of gas, for which R = 377 J/kg.k and k = 1.25, that undergo a nonflow constant volume process from p1 = 551.6 kPa and t1 = 60°C to p2 = 1655 kPa. During the process the gas is internally stirred and ... (Formula: T2= T1p2/ p1) a. 999 K b. 888 K c. 456 K d. One of the above
Last Answer : 999 K
Description : Find parametric equation for Y-coordinates of Hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.2u3-3u2+2u+4 b.3u3-2u2-2u-4 c.2u3-3u2-2u-4 d.2u3+3u2+2u+4
Last Answer : a.2u3-3u2+2u+4
Description : Find parametric equation for X-coordinates of hermite cubic spline curve having endpoints P0[4,4]; P1[8,5] a.-5u3+8u2+u+1 b.5u3+8u2+u+1 c.8u3-5u2-u+1 d.8u3+5u2+u+1
Last Answer : a.-5u3+8u2+u+1
Description : The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is, a) 3i – 11j + 7k b) -3i + 11j + 7k c) -3i – 11j – 7k d) -3i + 11j – 7k
Last Answer : Answer: b Explanation: Cross product of two vectors is, A X B = (a2*b3 – b2*a3)i – (a1*b3 – b1*a3)j + (a1*b2 – b1*a2)k. Using the formula, the answer can be calculated.
Description : A line AB with end point A (2,3) & B (7,8) is to be rotated about origin by 300 inclockwise direction. Determine the coordinates of end points S of rotated line. a.(3.232, 2.598) b.(5.232, 3.598) c.(3.232, 1.298) d.(3.232, 1.598)
Last Answer : d.(3.232, 1.598)
Description : A line AB with end points A (2, 1) & B (7, 6) is to be moved by 3 units in x-direction & 4units in y-direction. Calculate new coordinates of points B. a.(10, 2) b.(2, 10) c.(10, 10) d.(10, 5)
Last Answer : c.(10, 10)
Description : What is the resulting pressure when one pound of air at 15 psia and 200 ˚F is heated at constant volume to 800 ˚F? A.15 psia B. 28.6 psia C. 36.4 psia. D. 52.1 psia Formula : T1/p1 = T2/p2 p2= p1T2 / T1
Last Answer : 28.6 psia
Description : A set of processors P1, P2, ......, Pk can execute in parallel if Bernstein's conditions are satisfied on a pair wise basis; that is P1 || P2 || P3 || ..... || Pk if and only if: (A) Pi || Pj for all i ≠ j (B) Pi || Pj for all i = j+1 (C) Pi || Pj for all i ≤ j (D) Pi || Pj for all i ≥ j
Last Answer : (A) Pi || Pj for all i ≠ j Explanation: Bernstein's Condition: 1. If process Pi writes to a memory cell Mi, then no process Pj can read the cell Mi. 2. If process Pi read from a memory ... Mi. 3. If process Pi writes to a memory cell Mi, then no process Pj can write to the cell Mi.
Description : A circle is passing through two end points A[6,4] and B[10,10]. Find center point ofcircle a.7,8 b.8,8 c.8,7 d.7,7
Last Answer : c.8,7
Description : What horse power is required to isothermally compress 800 ft^3 of Air per minute from 14.7 psia to 120 psia? A. 28 hp B.108 hp C.256 hp D.13900 hp Formula: W= p1V1 ln (p1/p2) Power = dW / dt
Last Answer : 108 hp
Description : Which of the following is the mathematical representation of the Charles’s law? A. V1/V2= P2/P1 B. V1/T1=V2/T2 C. V1/T2=V2/T1 D. V1/V2=√P2/√P1
Last Answer : V1/T1=V2/T2
Description : Which of the following is the Ideal gas law (equation)? A. V/T = K B. V= k*(1/P) C. P1/T1 = P2/T2 D. PV = nRT
Last Answer : PV = nRT
Description : A signal is measured at two different points. The power is P1 at the first point and P2 at the second point. The dB is 0. This means________. A) P2 is zero B) P2 equals P1 C) P2 is much larger than P1 D) P2 is much smaller than P1
Last Answer : P2 equals P1
Description : If f1 and f2 are the distances from the optical centre of a convex lens of focal length to conjugate two points P1 and P2 respectively, the following relationship holds good (A) f = f1 + f2 (B) f = ½ (f1 + f2) (C) 1/f = 1/f1 + 1/f2 (D) None of these
Last Answer : (C) 1/f = 1/f1 + 1/f2
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 : C†continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal
Last Answer : a.Common tangent
Description : C‘ continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal
Last Answer : b.Common curvature
Description : C0 continuity refers to a.Common tangent b.Common curvature c.Common point d.Common normal
Last Answer : c.Common point
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 : Polygons are translated by adding to the coordinate positionof each vertex and the current attribute setting. a.Straight line path b.Translation vector c.Differences d.Only b
Last Answer : d.Only b
Description : Consider three CPU intensive processes P1, P2, P3 which require 20, 10 and 30 units of time, arrive at times 1, 3 and 7 respectively. Suppose operating system is implementing Shortest Remaining Time first (preemptive scheduling) ... end of Ready queue are not counted). (A) 3 (B) 2 (C) 4 (D) 5
Last Answer : (A) 3
Description : Consider a system having ‘m’ resources of the same type. These resources are shared by three processes P1, P2 and P3 which have peak demands of 2, 5 and 7 resources respectively. For what value of ‘m’ deadlock will not occur? (A) 70 (B) 14 (C) 13 (D) 7
Last Answer : (B) 14
Description : In finish machining of an island on a casting with CNC milling machine, an end mill with 10 mm diameter is employed. The corner points of the island are represented by (0, 0), (0, 30), (50, 30) and (50, 0). By applying cutter radius right ... , 5), (5, 5) d.(5, 5), (45, 5), (45, 25), (5, 25), (5, 5)
Last Answer : a.(-5, 0), (-5, 35), (55, 35), (55,-5), (-5,-5)
Description : A short column (30 cm 20 cm) carries a load P1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ... to P2 will be (A) 2/3 (B) 3/2 (C) 8/5 (D) 5/8
Last Answer : (C) 8/5
Description : To determine the coefficients of the equation – two end-points and the two tangentvectors. This statement is true for which of the following? a.B-spline curve b.Hermite Cubic Spline Curve c.Beizer curve d.none of the above
Last Answer : b.Hermite Cubic Spline Curve
Description : To determine the coefficients of the equation – two end-points and the two tangentvectors. This statement is true for which of the following a.B-spline curve b.Hermite Cubic Spline Curve c.Beizer curve d.none of the above
Description : The shape of Bezier curve is controlled by a.Control points b.Knots c.End points d.All the above
Last Answer : a.Control points
Description : Scaling of a polygon is done by computing a.The product of (x, y) of each vertex b.(x, y) of end points c.Center coordinates d.Only a
Last Answer : d.Only a
Description : An ellipse can also be rotated about its center coordinates by rotating a.End points b.Major and minor axes c.Only a d.None
Last Answer : b.Major and minor axes
Description : Positive values for the rotation angle θ defines a.Counter clockwise rotations about the end points b.Counter clockwise translation about the pivot point c.Counter clockwise rotations about the pivot point d.Negative direction
Last Answer : c.Counter clockwise rotations about the pivot point
Description : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is
Last Answer : The magnitude of scalar product of the vectors A = 2i + 5k and B = 3i + 4k is (A) 20 (B) 22 (C) 26 (D) 29
Description : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Last Answer : If A = 2i + 7j + 3k and B = 3i + 2j + 5k, find the component of A along B.
Description : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Last Answer : Find the scalar product of the two vectors v1 = i + 2j + 3k and v2 = 3i + 4j - 5k.
Description : What is the volume of a parallelepiped whose sides are given by the vectors a 3i plus wj plus k b -i plus 3j and c 2i plus 2j plus 5k?
Last Answer : What is the answer ?
Description : Consider the fractional knapsack instance n = 4, (p1, p2, p3, p4) = (10, 10, 12, 18), (w1, w2, w3, w4) = (2, 4, 6, 9) and M = 15. The maximum profit is given by (Assume p and w denotes profit and weight of objects respectively) (A) 40 (B) 38 (C) 32 (D) 30
Last Answer : (B) 38
Description : Any convenient co-ordinate system or Cartesian co-ordinates which can be usedto define the picture is called a.spherical co-ordinates b.vector co-ordinates c.viewport co-ordinates d.world co-ordinates
Last Answer : d.world co-ordinates
Description : The translation distances (dx, dy) is called as a.Translation vector b.Shift vector c.Both a and b d.Neither a nor b
Last Answer : c.Both a and b
Description : Which co-ordinates allow common vector operations such as translation, rotation,scaling and perspective projection to be represented as a matrix by which the vector is multiplied? a.vector co-ordinates b.3D co-ordinates c.affine co-ordinates d.homogenous co-ordinates
Last Answer : d.homogenous co-ordinates
Description : In homogeneous coordinates value of ‘h’ is consider as 1 & it is called….. a.Magnitude Vector b.Unit Vector c.Non-Zero Vector d.Non-Zero Scalar Factor
Last Answer : d.Non-Zero Scalar Factor
Description : A circle is represented by center point [5,5] and radius 6 units. Find the parametricequation of circle and determine the various points on circle in first quadrant if increment in angle by 45o a.9.24,9.24 b.9.42,9.42 c.9,9 d.11,5
Last Answer : a.9.24,9.24
Description : Incremental dimension in circular interpolation in X-axis is denoted by a.J b.I c.K d.None of the above
Last Answer : b.I