The linear factors of the equation $x^2+kx+1=0$ exists, if

Important Questions on Quadratic Equations in One Variable

EASY

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 2

The root of the equation $2\mathrm{sin\theta }+\frac{3}{\mathrm{sin\theta }}+7=0$ is

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 3

The equation $x^2(a^2+b^2)+2x(ac+bd)+(c^2+d^2)=0$ has no real roots, if $ad\ne$_____.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 4

A factory kept increasing its output by the same percentage every year. Then, the percentage, if it is known that the output is doubled in the last two years, will be

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 5

A trader bought a number of articles for $₹1200$. Ten were damaged and he sold each of the rest at $₹2$ more than what he paid for it, thus getting a profit of $₹60$ on the whole transaction. If $x$ denotes the number of articles he bought, then the value of $x$ is

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 6

If the roots of the equation $x^2+2cx+ab=0$ are real and unequal, then the equation $x^2-2(a+b)x+a^2+b^2+ 2c^2=0$ has

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 7

The values of $x$ satisfying $p^2{x}^2+\left(p^2-q^2\right)x-q^2=0$ are

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 5 - Quadratic Equations in One Variable>CHALLENGERS>Q 8

From a group of Sara's birds, one-fourth of the number are moving about in lotus plants, one-ninth coupled with one-fourth as well as $7$ times the square root of the total number are moving on a hill, while $56$ birds are sitting in the Bakula trees. Then, what is the total number of birds?