If product of the roots of the equation `3x^2-4x+(loga^2-log(-a)+3)=0` is 1, then `' a '` equal to
a. not possible b. -1 c. 1 d. none of these

If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is -1, then find the product of the roots.

The product of roots of the equation (3)/((log_8x)^2)=3 is 1 (b) (c) 1/3 (d) 1//4

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

If the equation (4a-3)x^2+a y^2+6x-2y+2=0 represents a circle, then its centre is a. (3,-1) b. (3,1) c. (-3,1) d. none of these

If one root of the equation x^2+a x+3=0 is 1, then the other root is (a) 3 (b) -3 (c) 2 (d) -2

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4

The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 (c) 2 (d) 3

If a in (-1,1), then roots of the quadratic equation (a-1)x^2+a x+sqrt(1-a^2)=0 are a. real b. imaginary c. both equal d. none of these

Match the column Column I, Column II If x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x))) is equal to, p. 3 If x=100 , then 3^((log)_3logsqrt(x))-logx+log^2x is equal to, q. 1 If one of the root of the equation 2((log)_xsqrt(5))^2-3(log)_x(a)+1=0 is sqrt(5) , then the other root is, r. 1/2 If (log)_2(4. 3^x-6)-(log)_2(9^x-6)=1, then x is equal to, s. 5