For the equation `x^2 + y^2 + 2lambdax + 4 = 0` which of the following can be true

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

For the differential equation (x^2+y^2)dx-2xy dy=0 , which of the following are true. (A) solution is x^2+y^2=cx (B) x^2-y^2=cx (C) x^2-y^2=x+c (D) y(0)=0

If x and y are real and satisfy the equation x^(2)+16y^(2)-3x+2=0 then which of the following is/are true

Consider the circle x^(2) + y^(2) – 2x – 2y – 14=0 , which of following is/are true :

If the roots, x_(1) and x_(2) , of the quadratic equation x^(2) - 2x + c = 0 also satisfy the equation 7x_(2) - 4x_(1) = 47 , then which of the following is true ?

Of the equation lambda=|x-2|+2|x-4|+4|x-6| which of the following option is/are true

For the roots of the equations 2x^(2)-5x+1=0 and x^(2)+5x+2=0 which of the following statement is true

y-b=a-2^(-x) For the equation given, if agt0 and blt0. then which of the following statements is always true?

If the equation of an ellipse is 2x^2 + 3y^2 - 8x + 6y+5=0 , then which of the following is/are true? (A) equation of auxiliary circle is x^2 + y^2 - 4x + 2y + 2 = 0 (B) equation of director circle is x^2 + y^2 + 2y=0 (C) the director circle will pass through (4, -2) (D) none of these

If the equation of an ellipse is 2x^2 + 3y^2 - 8x + 6y+5=0 , then which of the following is/are true? (A) equation of auxiliary circle is x^2 + y^2 - 4x + 2y + 2 = 0 (B) equation of director circle is x^2 + y^2 + 2y=0 (C) the director circle will pass through (4, -2) (D) none of these