Related InterviewSolutions

• The statement pattern `p^^(~p^^q)`isA. a tautolog yB. a contradictionC. equivalent to `p ^^ q`D. equivalent to `p vv q`
• The sum of the first 10 terms of the series `9+99+999 +….., ` isA. `(9)/(8)(9^(10)-1)`B. `(100)/(9)(10^(9)-1)`C. `10^(9)-1`D. `(100)/(9)(10^(10)-1)`
• If `int_(0)^(k)(dx)/(2+18x^(2))=(pi)/(24)`, then the value of k isA. 3B. 4C. `(1)/(3)`D. `(1)/(4)`
• The order of the differential equation of all parabolas , whose latus rectum is 4a and axis parallel to the x- axis isA. oneB. FourC. threeD. two
• In `DeltaABC`, with usual notations, if a,b,c are in AP then `acos^(2)((C)/(2))+cos^(2)((A)/(2))=`A. `(3a)/(2)`B. `(3c)/(2)`C. `(3b)/(2)`D. `(3abc)/(2)`
• The cartesian co - ordinates of the point on the parabola `y^(2)=- 16x` , whose parameter is `(1)/(2),` areA. `(-2, 4)`B. `(4,-1)`C. `(-1, -4)`D. `(-1, 4)`
• `int_(0)^(pi//4) x sec^(2)xdx`=A. `(pi)/(4)+logsqrt(2)`B. `(pi)/(4)-logsqrt(2)`C. `1+logsqrt(2)`D. `1-(1)/(2)log2`
• Evaluate : `int(1)/(sinx.cos^(2)x)dx`A. `secx+log|secx+tanx|+c`B. `secx.tanx+c`C. `secx+log|secx-tanx|+c`D. `secx+log|"cosec "x-cotx|+c`
• If `2sin(theta+(pi)/(3))=cos(theta-(pi)/(6))` then `tan theta`=A. `sqrt(3)`B. `(-1)/(sqrt(3))`C. `(1)/(sqrt(3))`D. `-sqrt(3)`
• IF ` tan ^(-1) 2x + tan ^(-1) 3x =(pi)/(4) , ` then x=A. `-1`B. `(1)/(3)`C. `(1)/(6)`D. `(1)/(2)`