Mathematics questions
18011 published questions with worked solutions.
- If x>0 and _3x+ _3 ( x )+ _3 ( [4]x )+ _3 ( [8]x )+ _3 ( [16]x )+ =4, then x equals
- The number of solution of _4(x-1)= _2(x-3) is
- If _ 10 7=0.8451, then the position of the first significant figure of 7^ -20 is
- If _42+ _44+ _4x+ _416=6, then the value of x is
- The value of _2 _3 _ 100 100^ 99^ 98^ ^ 2^1 is equal to
- If y=2^ 1/ _x8 , then x is equal to
- If a^x=b^y=c^z=d^w, then the value of x ( 1y+ 1z+ 1w ) is
- In a right-angled triangle, the sides are a, b and c, with c as hypotenuse, and c-b 1, c+b 1. Then the value of ( _ c+b a+ _ c-b...
- If x_1,x_2,x_3,x_4 are roots of the equation x^4-x^3 2 +x^2 2 -x - =0, then ^ -1 x_1+ ^ -1 x_2+ ^ -1 x_3+ ^ -1 x_4 is equal to
- If the roots of the equation 3x^2-6x+5=0 are and , then the equation whose roots are + and 2 + will be
- The quadratic equation in x such that the arithmetic mean of its roots is 5 and geometric mean of the roots is 4, is given by
- If x^2+px+q=0 has the roots and , then the value of ( - )^2 is equal to
- If one root of equation x^2+ax+12=0 is 4 while the equation x^2+ax+b=0 has equal roots, then the value of b is
- If , are the roots of the equation lx^2+mx+n=0, then the equation whose roots are ^3 and ^3, is
- If , , are the roots of x^3-2x^2+3x-4=0, then the value of ^2 ^2+ ^2 ^2+ ^2 ^2 is
- The value of a for which the sum of the squares of the roots of the equation x^2-(a-2)x-a-1=0 assumes the least value, is
- The condition that x^3-px^2+qx-r=0 may have two of its roots equal in magnitude but opposite sign, is
- Let , be the roots of the equation x^2-ax+b=0 and A_n= ^n+ ^n. Then A_ n+1 -aA_n+bA_ n-1 is equal to
- If and are the roots of the equation x^2-7x+1=0, then the value of 1 ( -7)^2 + 1 ( -7)^2 is
- If , are the roots of the equation 6x^2-5x+1=0, then the value of ^ -1 + ^ -1 is