Related InterviewSolutions

• Which of the following equation does not represent a pair of lines ?A. `x^(2)-x=0`B. `xy-x=0`C. `y^(2)-x+1=0`D. `xy+x+y+1=0`
• the acute angle between the line `bary=(hati+2hatj+hatk)+lambda(hati+hatj+hatk)` and the plane `bary.(2hati-hatj+hatk)=5` isA. `cos^(-1)((sqrt2)/(3))`B. `sin^(-1)((sqrt2)/(3))`C. `tan^(-1)((sqrt2)/(3))`D. `sin^(-1)((sqrt2)/(sqrt3))`
• IF `sin x ` is the integerating factor (I.F ) of the linear differential equation ` (dy)/(dx) +py =Q ` then P isA. `logsinx`B. `cosx`C. `tanx`D. `cotx`
• Form the differentialequation of the family of circles touching the y-axis at origin.A. `(x^(2)+y^(2))(dy)/(dx)-2xy=0`B. `x^(2)-y^(2)(dy)/(dx)+2xy=0`C. `(x^(2)-y^(2))(dy)/(dx)-2xy=0`D. `(x^(2)+y^(2))(dy)/(dx)+2xy=0`
• The degree and order of the differential equation` [ 1+((dy)/(dx))^(3)]^(7/3)=7((d^(2)y)/(dx^(2)))` respectively areA. 3 and 7B. 3 and 2C. 7 and 3D. 2 and 3
• The joint equation of bisectors of angles between lines `x=5` and `y=3` isA. `(x-5)(y-3)=0`B. `x^(2)-y^(2)-10x+6y+16=0`C. `xy=0`D. `xy-5x-3y+15=0`
• Evaluate the following : `int_(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))dx`A. 1B. 3C. 2D. 0
• Direction cosines of the line `(x+2)/(2)=(2y-5)/(3),z=-1` areA. `(4)/(5),(3)/(5),0`B. `(3)/(5),(4)/(5),(1)/(5)`C. `(-3)/(5),(4)/(5),0`D. `(4)/(5),(-2)/(5),(1)/(5)`
• If `int(f(x))/(log(sinx))dx=log[log sinx]+c`, then f(x) is equal toA. `cot x`B. `tanx`C. `secx`D. `cosecx`
• If `2tan^(-1)(cosx)=tan^(-1)(2cosecx)`, then sinx +cosx is equal toA. `2sqrt2`B. `sqrt2`C. `(1)/(sqrt2)`D. `(1)/(2)`