Which of the following quantified statement is ture ?A. The square of every real number is positiveB. There exists a real number whose square is negativeC. There exists a real number whose square is not negativeD. Every real number is rational

Which of the following quantified statement is ture ?A. The square of

1.	Which of the following quantified statement is ture ?A. The square of every real number is positiveB. There exists a real number whose square is negativeC. There exists a real number whose square is not negativeD. Every real number is rational
Answer» Correct Answer - C

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)`