If `y=5,` then what is the value of `10 ysqrt(y^3-y^2)?` `50sqrt(2)` (b) `100` (c) `200sqrt(5)` (d) 500

The value of the integral int_0^(100pi) sqrt(1-cosx)dx is equal to (A) 300sqrt(2) (B) 200sqrt(2) (C) 400sqrt(2) (D) 500sqrt(2)

If lines x+2y-1=0,ax+y+3=0, and bx-y+2=0 are concurrent,and S is the curve denoting the locus of (a,b), then the least distance of S from the origin is (a) (5)/(sqrt(57)) (b) 5/sqrt(51)(c)5/sqrt(58)(d)5/sqrt(59)

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0

If y=2x+3 is a tangent to the parabola y^(2)=24x, then is distance from the parallel normal is 5sqrt(5)(b)10sqrt(5)(c)15sqrt(5)(d) None of these

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

If x= (sqrt""5) + 1 and y = (sqrt""5) -1 , then what is the value of (x^(2)//y^(2)) + (y^(2)//x^(2)) + 4[(x//y) + (y//x)]+6 ?

If x=(sqrt5)+1 and y=(sqrt5)-1 , then what is the value of (x^2//y^2)+ (y^2//x^2) + 4[(x//y) + (y//x)] + 6 ?

The distance of the point (1,2,3) from the plane x+y-z=5 measured along the straight line x=y=z is 5sqrt(3)(2)10sqrt(3)(3)3sqrt(10)3sqrt(5)(5)2sqrt(5)

The following are the steps involved in finding the value of x-y from (sqrt(8)-sqrt(5))/(sqrt(8)+sqrt(5))=x-ysqrt(40) . Arrange them in sequential order. (A) (13-2sqrt(40))/(8-5)=x-ysqrt(40) (B) ((sqrt(8))^(2)+(sqrt(5))^(2)-2(sqrt(8))(sqrt(5)))/((sqrt(8))^(2)-(sqrt(5))^(2))=x-ysqrt(40) (C) x-y=(11)/(3) (D) x=(13)/(3) and y=(2)/(3) (E) ((sqrt(8)-sqrt(5))(sqrt(8)-sqrt(5)))/((sqrt(8)+sqrt(5))(sqrt(8)-sqrt(5)))=x-ysqrt(40)