Mathematics questions
18011 published questions with worked solutions.
- Statement 1: If both roots of the equation 2x^2-x+a=0 (a R) lies in (1,2), then -1<a 18. Statement 2: If F(x)=2x^2-x+a, then D 0,...
- If each pair of the equation x^2+ax+b=0, x^2+bx+c=0 and x^2+cx+a=0 has a common root, then product of all common roots is
- Statement 1: If both roots of the equation 4x^2-2x+a=0, a R lie in the interval (-1,1), then -2<a 14. Statement 2: If...
- The number of real solutions of the equation |x^2+4x+3 |+2x+5=0 are
- Number of integer roots of the equation (x+2)(x+3)(x+8)(x+12)=4x^2 is
- If the equation 2x^2+3x+5 =0 and x^2+2x+3 =0 have a common root, then is equal to
- If roots of x^2-ax+b=0 are prime numbers, then
- The equation x^ 34( _2x)^2+( _2x)- 54 = 2 has
- If the roots of the equation qx^2+px+q=0 are complex, where p,q are real, then the roots of the equation x^2-4qx+p^2=0 are
- If the roots of the equation 8x^3-14x^2+7x-1=0 are in GP, then the roots are
- If , are the roots of the quadratic equation ax^2+bx+c=0 and k be a real number, then the condition so that <k< is given by
- If and ( < ) are the roots of the equation x^2+bx+c=0 where c<0<b, then
- If the roots of the equation ax^2+bx+c=0 of the form k+1 k and k+2 k+1 , then (a+b+c)^2 is equal to
- Let a,b,c be positive numbers. The following system of equations in x,y and z: x^2 a^2 + y^2 b^2 - z^2 c^2 =1; x^2 a^2 - y^2 b^2...
- The root of the equation 2(1+i)x^2-4(2-i)x-5-3i=0, where i= -1 , which has greater modulus, is
- Let , be the roots of x^2-2x +1=0, then the equation whose roots are ^n, ^n, is
- If the roots of ax^2+bx+c=0 are , and the roots of Ax^2+Bx+C=0 are -k, -k, then B^2-4AC b^2-4ac is equal to
- If x_1,x_2,x_3 are distinct roots of the equation ax^2+bx+c=0, then
- The roots of the equation x^4-8x^2-9=0 are
- If , are the roots of x^2-ax+b=0 and if ^n+ ^n=V_n, then