A to Z Exams

For real values of x the expression x2-x+1/x2+x+1 takes values in interval

The angle between the circles x2+y2-4x-6y-3=0 and x2+y2+8x-4y+11=0 is

If the inverse point of (2,-1) with respect to the circle x2+y2=9 is (p, q) then q=

If the centroid of an equilateral triangle is (1,1) and its one vertex is (-1, 2) then the equation of the circum circle is

Each of the roots of the equation x3-6x2+6x-5=0 are increased by k so that the new transformed equation does not contain x2 term.The k=

For an oral test 25 questions a reset of which 5 are easy and 20 are tough. Two questions are given to two candidates A and B in that order(one question to each person). The probability for B to receive easy question is

The equation of tangent at θ on S ≡ x2 + y2 + 2gx+2fy+c =0

If x-2 is a common factor of the expression x2+ax+b=0 and x2+cx+d=0. Then b-d/c-a =

If the inverse point of (1, -1) with respect to the circle x2+y2=1/4 is C then Cx+Cy=

The equation formed by the increasing each root of ax2+bx+c=0 by 1 is 2x2+8x+2=0 then

The locus of the point [(et+e-t)/2,(et+e-t)/2] is a hyperbola of eccentricity

The equation of the sphere concentric with the sphere x2 + y2 + z2 – 2x – 4y – 6z – 11=0 and radius double of it is:

The points at which the tangent to the circle x2+y2=13 is perpendicular to the line 2x+3y+21=0 is

The parabola with directrix x + 2y -1 =0 and focus (1,00) is

P(2, 1) and Q(8, 4) are two points and x2+y2=20 is the equation of a circle. Then

If a chord of length 2√2 subtends a right angle at the centre of the circle then its radius is

If 3x-2y+4=0 and 2x+5y+k=0 are conjugate lines w.r to the ellipse 9x2+16y2=144 then the value of k is

The polar of the point (t-1, 2t) w.r.t the circle x2 + y2 -4x + 6y +4=0 passes through the point of intersection of the lines

If 1,-1,2 are the roots of x3+Ax2+Bx+C=0 then the ascending order of A,B,C is

If the sum of the roots of the equation5x2-4x+2+k(4x2-2x-1)=0 is 6, then k =

The transformed equation of x3-(5/2)x2-(7/18)x+(1/108)=0 by removing fractional coefficients is

The chance of throwing an ace in the 1st only, of the two successive throws with an ordinary die is

The centre and radius of the sphere 2x2+ 2y2 + 2z2 – 2x +4y + 2z + 1=0

There are 25 railway stations between Nellore and Hyderabad.The number of different kinds of single second class tickets to be printed so as to enable a passenger to travel from the station to another is

Equation to the circle whose one of the diameters is the common chord of (x-a)2+y2=a2,x2+(y-b)2=b2 is

The equation of the circle whose center lies on the x-axis and which passes through the points (0,1),(1,1) is

The difference of focal distance of any point on the hyperbola [(x2/36)-(y2-9)]=1 is

If x4+2x3-4x2-4x+4=0 then 2s1-s2+s3-s4=

Equation of the hyperbola with e=√2 and having the distance between the foci 1 is

The transformed equation of x3+6x2+12x-19=0 by eliminating second term is