(" d) "x^(2)-4-[x]=0

The straight line y+x=1 touches the parabola (A) x^(2)+4y=0 (D) x^(2)-x+y=0 (C) 4x^(2)-3x+y=0( D ) x^(2)-2x+2y=0

alpha, beta are roots of quadratic equation such that alpha+beta=-4 and alpha beta=-1 , then required equation is……….a) x^2-4x-1=0 b) x^2+4x-1=0 c) x^2+4x+1=0 d) x^2-4x+1=0

Which of the following is singleton set ? (i) A = {x : x is a letter in English alphabet, comes after Z} (ii) B = {0} (iii) C= {x :x + 4=4} (iv) D={x:x^(2)-4x+4=0} (v) E={x:x in N,6ltxlt9} .

Which of the following is singleton set ? (i) A = {x : x is a letter in English alphabet, comes after Z} (ii) B = {0} (iii) C= {x :x + 4=4} (iv) D={x:x^(2)-4x+4=0} (v) E={x:x in N,6ltxlt9} .

If alpha,beta are the roots of x^(2)+2x+5= (then the equation whose roots are (alpha+1)/(alpha),(beta+1)/(beta) is (A) 5x^(2)-9x+4=0 (B) 5x^(2)-8x+4=0 (C) 5x^(2)-10x+4=0 (D) 5x^(2)+9x+4=0

[ The number of real solutions of x^(2)-4|x|-2=0 is [ (a) 1, (b) 2 (c) 3, (d) 4]]

Displacement 'x' of a simple harmonic oscillator varies with time, according to the differential equation (d^(2)x//dt^(2))+4x=0 . Then its time period is

The quadratic equation is a) x(x+1)+8=(x+2)(x-2) b) x^2+1/x^2=5 c) x^2-2x-sqrtx-5=0 d) x^2+6x-4=0

The biquadratic equation, two of whose roots are 1+i , 1-sqrt(2) is A) x^(4)-4x^(3)+5x^(2)-2x-2=0 B) x^(4)-4x^(3)-5x^(2)+2x+2=0 C) x^(4)+4x^(3)-5x^(2)+2x-2=0 D) x^(4)+4x^(3)+5x^(2)-2x+2=0

Circles x^(2)+y^(2)+4x+d=0,x^(2)+y^(2)+4fy+d=0 touch each other,if