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Mathematics · Question Bank

Algebra

311 questions · page 6 of 16

#7956📜 ECE Board March 1996Problem
The equation of whose roots are the reciprocal of the roots of \(2x^2-3x-5=0\) is,
A\(5x^2+3x-2=0\)
B\(2x^2+3x-5=0\)
C\(3x^2-3x+2=0\)
D\(2x^2+5x-3=0\)
#7957📜 EE Board October 1993Problem
In the equation \(x^2+x=0\) one root is \(x\) equal to
A1
B5
C\(1/4\)
Dnone of these
#7958📜 ECE Board April 1990Problem
Solve for the value of "a" in the equation \(a^8-17a^4+16=0\)
A\(\pm 2\)
B\(\pm 3\)
C\(\pm 4\)
D\(\pm 5\)
#7959📜 ME Board October 1996Problem
Solve for \(x\) that satisfies the equation \(6x^2-7x-5=0\).
A\(\frac{5}{3}\) or \(\frac{-1}{2}\)
B\(\frac{3}{2}\) or \(\frac{3}{8}\)
C\(\frac{7}{5}\) or \(\frac{-7}{15}\)
D\(\frac{3}{5}\) or \(\frac{3}{4}\)
#7960📜 EE Board October 1997Problem
Find the values of \(x\) in the equation \(24x^2+5x-1=0\)
A\((\frac{1}{6}, 1)\)
B\((\frac{1}{6}, \frac{1}{5})\)
C\((\frac{1}{2}, \frac{1}{5})\)
D\((\frac{1}{8}, -\frac{1}{3})\)
#7961📜 EE Board October 1990Problem
Determine \(k\) so that the equation \(4x^2+kx+1=0\) will have just one real solution.
A3
B4
C5
D6
#7962📜 ME Board April 1996Problem
Solve for \(x\): \(10x^2+10x+1=0\)
A\(-0.113, -0.887\)
B\(-0.331, -0.788\)
C\(-0.113, -0.788\)
D\(-0.311, -0.887\)
#7963Problem
If \(1/3\) and \(-3/2\) are the roots of a quadratic equation, then the equation is
A\(6x^2+7x-3=0\)
B\(6x^2-7x+3=0\)
C\(6x^2-7x-3=0\)
D\(6x^2-7x+1=0\)
#7964Problem
Which of the following is a root of this quadratic equation, \(30x^2+49x+20=0\)?
A0.6
B-0.6
C-0.8
D0.75
#7965Problem
What is the discriminant of the equation \(4x^2=8x-5\)?
A8
B-16
C16
D-8
#7966Problem
Given the equation \(3x^2+Bx+12=0\). What is the value of \(B\) so that the roots of the equation are equal?
A4
B8
C10
D-12
#7967Problem
Find the term involving \(y^5\) in the expansion of \((2x^2+y)^{10}\)
A\(8064 x^{10}y^5\)
B\(8046 x^5y^5\)
C\(8046 x^{10}y^5\)
D\(4680 x^5y^5\)
#7968Problem
Find the \(5^{th}\) term of the expansion of \((x^2+\frac{1}{x})^{10}\)
A\(260 x^8\)
B\(5040 x^8\)
C\(210 x^8\)
D\(420 x^8\)
#7969📜 ECE Board April 1998Problem
In the expression of \((x+4y)^{12}\), the numerical coefficient of the \(5^{th}\) term is,
A63,360
B126,720
C506,880
D253,440
#7970Problem
What is the fourth term of the expansion of \((x+x^2)^{100}\)?
A\(1650 x^{103}\)
B\(161700 x^{103}\)
C\(167100 x^{16}\)
D\(167100 x^{100}\)
#7971Problem
What is the numerical coefficient of the term next to \(495x^8y^4\)?
A660
B792
C990
D1100
#7972📜 CE Board November 1996Problem
Find the \(6^{th}\) term of the expansion of \((\frac{1}{2a}-3)^{16}\)
A\(-\frac{66939}{256a^{11}}\)
B\(\frac{66339}{128a^{11}}\)
C\(-\frac{33669}{256a^{11}}\)
D\(\frac{39396}{128a^{11}}\)
#7973Problem
What is the coefficient of the term free of \(x\) of the expansion of \((2x-5y)^4\)?
A256
B526
C265
D625
#7974Problem
Find the \(6^{th}\) term of \((3x-4y)^8\)
A\(-148{,}288x^3y^6\)
B\(-548x^2y^5\)
C\(-154{,}288x^3y^5\)
D\(-1{,}548{,}288x^3y^5\)
#7975📜 ECE Board November 1995Problem
What is the sum of the coefficients of the expansion of \((2x-1)^{20}\)?
B1
C2
D3