5 more than twice a number `x` is written as (a) `5+x+2` (b) `2x+5` `2x-5` (d) `5x+2`

The quotient of x\ b y\ 2 added to 5 is written as (a) x/2+5 (b) 2/x+5 (c) (x+2)/5 (d) x/(2+5)

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

If two zeros of x^3+x^2-5x-5 are sqrt(5) and -sqrt(5) , then its third zero is (a) 1 (b) -1 (c) 2 (d) -2

Write the coefficient of : 5x^(2) in 5x^(2) - 5x

If x-3 is a factor of x^2-a x-15 , then a= (a) -2 (b) 5 (c) -5 (d) 3

A point on the ellipse x^2+3y^2=37 where the normal is parallel to the line 6x-5y=2 is (5,-2) (b) (5, 2) (c) (-5,2) (d) (-5,-2)

If the point (5,2) bisects the intercept of a line between the axes, then its equation is 5x+2y=20 b. 2x+5y=20 c. 5x-2y=20 d. 2x-5y=20

If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then number of values of a is 0 (b) 1 (c) 2 (d) More than 2

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is (a) 5x^2+5y^2+18 x+6y-5=0 (b) 5x^2+5y^2+9x+8y-15=0 (c) 5x^2+5y^2+4x+9y-5=0 (c) 5x^2+5y^2-4x-2y-18=0

If the foci of a hyperbola lie on y=x and one of the asymptotes is y=2x , then the equation of the hyperbola, given that it passes through (3, 4), is (a) x^2-y^2-5/2x y+5=0 (b) 2x^2-2y^2+5x y+5=0 (c) 2x^2+2y^2-5x y+10=0 (d) none of these