Recent questions tagged quadratic-equations

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NIELIT 2019 Feb Scientist D - Section D: 19
If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to : $3$ $-1$ $-2$ $0$

If $x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$ then $q^{2}x^{2}-2p^{2}x+q^{2}$ equals to : $3$ $-1$ $-2$ $0$

asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 40 views

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2

NIELIT 2016 MAR Scientist C - Section A: 12
The expression $(11.98\times 11.98 + 11.98 \times x +0.02 \times 0.02)$ will be a perfect square for $x$ equal to: $2.02$ $0.17$ $0.04$ $1.4$

The expression $(11.98\times 11.98 + 11.98 \times x +0.02 \times 0.02)$ will be a perfect square for $x$ equal to: $2.02$ $0.17$ $0.04$ $1.4$

asked Apr 2, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 59 views

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3

NIELIT 2019 Feb Scientist C - Section D: 9
sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is : $0$ $1$ $-1$ $2$

sum of roots of the equation $\dfrac{3x^{3}-x^{2}+x-1}{3x^{3}-x^{2}-x+1}=\dfrac{4x^{3}-7x^{2}+x+1}{4x^{3}+7x^{2}-x-1}$ is : $0$ $1$ $-1$ $2$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 62 views

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4

NIELIT 2019 Feb Scientist C - Section D: 17
If ${m_1}$ and ${m_2}$ are the roots of equation $x^{2}+(\sqrt{3}+2)x+\sqrt{3}-1=0$ then area of the triangle formed by the lines $y={m_1}x, \: \: y={m_2}x, \: \: y=c$ is: $\bigg(\dfrac{\sqrt{33}+\sqrt{11}}{4}\bigg) c^{2} $ ... $\bigg (\dfrac{\sqrt{33}+\sqrt{10}}{4} \bigg ) c^{2}$ $\bigg( \dfrac{\sqrt{33}+\sqrt{21}}{4} \bigg) c^{3}$

If ${m_1}$ and ${m_2}$ are the roots of equation $x^{2}+(\sqrt{3}+2)x+\sqrt{3}-1=0$ then area of the triangle formed by the lines $y={m_1}x, \: \: y={m_2}x, \: \: y=c$ is: $\bigg(\dfrac{\sqrt{33}+\sqrt{11}}{4}\bigg) c^{2} $ $\bigg( \dfrac{\sqrt{32}+\sqrt{11}}{16}\bigg ) c $ $\bigg (\dfrac{\sqrt{33}+\sqrt{10}}{4} \bigg ) c^{2}$ $\bigg( \dfrac{\sqrt{33}+\sqrt{21}}{4} \bigg) c^{3}$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 60 views

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NIELIT 2019 Feb Scientist C - Section C: 23
Vidya and Vandana solved a quadratic equation. In solving it, Vidya made a mistake in the constant term and got the roots as $6$ and $2$, while Vandana made a mistake in the coefficient of $x$ only and obtained the root as $-7$ and $-1$. The correct roots of the equation are: $6,-1$ $-7,2$ $-6,-2$ $7,1$

Vidya and Vandana solved a quadratic equation. In solving it, Vidya made a mistake in the constant term and got the roots as $6$ and $2$, while Vandana made a mistake in the coefficient of $x$ only and obtained the root as $-7$ and $-1$. The correct roots of the equation are: $6,-1$ $-7,2$ $-6,-2$ $7,1$

asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 435 views

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6

CAT2016: 82
Given the quadratic equation $x^2 – (A – 3)x – (A – 2)$, for what value of $A$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ $\text{None of these}$

Given the quadratic equation $x^2 – (A – 3)x – (A – 2)$, for what value of $A$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ $\text{None of these}$

asked Mar 11, 2020 in Others jothee 11.5k points 106 views

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CAT2016: 99
If both $a$ and $b$ belong to the set $\{1,2,3,4\}$, then the number of equations of the form $ax^2+bx+1=0$ having real roots is _____

If both $a$ and $b$ belong to the set $\{1,2,3,4\}$, then the number of equations of the form $ax^2+bx+1=0$ having real roots is _____

asked Mar 11, 2020 in Quantitative Aptitude jothee 11.5k points 60 views

4 votes

3 answers

8

CAT1994-62
If one root of $x^{2} + px + 12 = 0$ is $4$, while the equation $x^{2} + px + q = 0$ has equal roots, then the value of $q$ is: $49/4$ $4/49$ $4$ $\frac{1}{4}$

If one root of $x^{2} + px + 12 = 0$ is $4$, while the equation $x^{2} + px + q = 0$ has equal roots, then the value of $q$ is: $49/4$ $4/49$ $4$ $\frac{1}{4}$

asked Oct 28, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 328 views

1 vote

1 answer

9

CAT1995-82
One root of $x^{2} + kx – 8 = 0$ is square of the other. Then, the value of k is: $2$ $8$ $-8$ $-2$

One root of $x^{2} + kx – 8 = 0$ is square of the other. Then, the value of k is: $2$ $8$ $-8$ $-2$

asked Aug 30, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 166 views

–1 vote

1 answer

10

CAT1996-112
Given the quadratic equation $x^{2}-(A-3) x- (A-2) = 0$, for what value of $A$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ None of these

Given the quadratic equation $x^{2}-(A-3) x- (A-2) = 0$, for what value of $A$ will the sum of the squares of the roots be zero? $-2$ $3$ $6$ None of these

asked Jul 16, 2017 in Quantitative Aptitude makhdoom ghaya 7.8k points 150 views

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