If `3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)]` such that `A A^T=I`, then which of the following are correct? (A) `x+2y=4` (B) `x-y=1` (C) `x^2+y^2=-3` (D) `x^2+y^2=5`

Which of the following is not a monomial? 2x^2+1 (b) 3x^4 a b (d) x^2y

If x=10 and y=0.1, which of the following is the greatest? x^(2)+y^(2)( b) x^(2)-y^(2)( c) x^(2)backslash y^(2) (d) (x^(2))/(y^(2))

Let the equation of the ellipse be 18 (x-1)^(2)+(y+1)^(2) =4(x+y+2)^(2) Then which of the following are correct? (A)Focus is (1 -1) (B)Directrix is x+y+2=0 (C)Eccentricity is (2)/(3) (D) Centre is ((9)/(5) -(1)/(5))

Let the equation of the ellipse be 18 (x-1)^(2)+(y+1)^(2) =4(x+y+2)^(2) Then which of the following are correct? (A)Focus is (1 -1) (B)Directrix is x+y+2=0 (C)Eccentricity is (2)/(3) (D) Centre is ((9)/(5) -(1)/(5))

Let the equation of the ellipse be 18 (x-1)^(2)+(y+1)^(2) =4(x+y+2)^(2) Then which of the following are correct? (A)Focus is (1 -1) (B)Directrix is x+y+2=0 (C)Eccentricity is (2)/(3) (D) Centre is ((9)/(5) -(1)/(5))

Which of the following is correct in respect of the equations (x-1)/2=(y-2)/3 and 2x+3y=5 ?

If a function is represented parametrically be the equations x=(1+(log)_e t)/(t^2); y=(3+2(log)_e t)/t , then which of the following statements are true? (a) y^('')(x-2x y^(prime))=y (b) y y^(prime)=2x(y^(prime))^2+1 (c) x y^(prime)=2y(y^(prime))^2+2 (d) y^('')(y-4x y^(prime))=(y^(prime))^2

The normal to the curve x^(2)=4y passing (1,2) is (A) x+y=3 (B) x-y=3 (D) x-y=1

If (2, -2),(-1,2), (3,5) are the vertices of a triangle then the equation of the side not passing through (2,-2) is (A) x + 2y +1 = 0 (B) 2x - y- 4= 0 (C) X-3y -3= 0 (D) 3x – 4y + 11 = 0

y-1=m_1(x-3) and y - 3 = m_2(x - 1) are two family of straight lines, at right angled to each other. The locus of their point of intersection is: (A) x^2 + y^2 - 2x - 6y + 10 = 0 (B) x^2 + y^2 - 4x - 4y +6 = 0 (C) x^2 + y^2 - 2x - 6y + 6 = 0 (D) x^2 + y^2 - 4x - by - 6 = 0