Related InterviewSolutions

• The objective function, `z=4x_(1)+5x_(2),` subject to `2x_(1)+x_(2)ge7,2x_(1)+3x_(2)le15,x_(2)le3,x_(1),x_(2)ge0` has minimum value at the pointA. on X-axisB. on Y-axisC. at the originD. on the line parallel to X-axis
• The area of the reggion bounded by the lines `y=2x+1,y=3x+1" and "x=4` isA. 16 sq. unitsB. `(121)/(3)` sq. unitsC. `(121)/(6)` sq. unitsD. 8 sq. units
• If the volume of spherical ball is increasing at the rate of `4pi" cc/s"`, then the rate of change of its surface area when the volume is 288 `pi` cc isA. `(4pi)/(3)" cm"^(2)//"sec".`B. `(2pi)/(3)" cm"^(2)//"sec."`C. `4pi" cm"^(2)//"sec."`D. `2pi" cm"^(2)//"sec."`
• A box contains 6 pens , 2 of which are defective Two pens are taken randomy from the bax .If r,v. X., : Number of defective pens obtained , then standard deviation of x=A. `+-(4)/(3sqrt(5))`B. `(8)/(3)`C. `(16)/(45)`D. `(4)/(3sqrt(5))`
• For a invertible matrix `A ` if ` A (adj A) =[(10,0),(0,10)]` then `|A|=`A. 100B. `-100`C. 10D. `-10`
• If `int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3))+C`, then A-B=A. `(1)/(6)`B. `(1)/(30)`C. `(-1)/(30)`D. `(-1)/(6)`
• The value of `cos^(-1)(cot((pi)/(2)))+cos^(-1)(sin((2pi)/(3)))` isA. `(2pi)/(3)`B. `(pi)/(3)`C. `(pi)/(2)`D. `pi`
• Let `square PQRS` be a quadrilateral. If M and N are the mid-points of the sides PQ and RS respectively, then PS+QR=A. `3bar(MN)`B. `4bar(MN)`C. `2bar(MN)`D. `2bar(NM)`
• The equation of the plane through (-1,1,2), whose normal makes equal acute angles with coordinate axes isA. `bar( r ).(hati+hatj+hatk)=2`B. `bar( r ).(hati+hatj+hatk)=6`C. `bar( r ).(3hati-3hatj+3hatk)=2`D. `bar( r ).(hati-hatj+hatk)=3`
• If `f(x) = x` for `x le 0 = 0 ` for `x gt 0`, then `f(x)` at `x = 0` isA. continuous but not differentibaleB. not continuous but differentibaleC. continuous and differentiableD. not continuous and not differentiable