Question
Solve the following quadratic equation by factorization method:
$m^2-7=0$
$m^2-7=0$
✓
Answer
$x=\sqrt{7}$ or $x=-\sqrt{7}$
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Similar questions
Prove the following trigonometric identities.
$(\sec\theta+\cos\theta)(\sec\theta-\cos\theta)=\tan^2\theta+\sin^2\theta$
→$(\sec\theta+\cos\theta)(\sec\theta-\cos\theta)=\tan^2\theta+\sin^2\theta$
Prove the following identites:
$\big(\sec^2\theta-1\big)\cot^2\theta=1$
→$\big(\sec^2\theta-1\big)\cot^2\theta=1$
Prove the following trigonometric identities.
$\tan^2\text{A}\sec^2\text{B}-\sec^2\text{A}\tan^2\text{B}=\tan^2\text{A}-\tan^2\text{B}$
→$\tan^2\text{A}\sec^2\text{B}-\sec^2\text{A}\tan^2\text{B}=\tan^2\text{A}-\tan^2\text{B}$
Find the correct answer from the alternatives given.
The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . .
A. (4, 8)
B. (3, 5)
C. (5, 8)
D. (8, 4)
The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . .
A. (4, 8)
B. (3, 5)
C. (5, 8)
D. (8, 4)
Determine the nature of roots for each of the quadratic equation.
$\sqrt{3} x^2+\sqrt{2} x-2 \sqrt{3}=0$
→$\sqrt{3} x^2+\sqrt{2} x-2 \sqrt{3}=0$
Very-Short and Short-Answer Questions.
If $\sin\theta=\cos(\theta-45^\circ),$ where $\theta$ is acute, find the value of $\theta.$
→If $\sin\theta=\cos(\theta-45^\circ),$ where $\theta$ is acute, find the value of $\theta.$
The radii of internal and external surfaces of a hollow spherical shell are $3\ cm$ and $5\ cm$, respectively. It is melted and recast into a solid cylinder of diameter $14\ cm$. Find the height of the cylinder.
→Find the value of k for which the system of equations $3x + y = 1$ and $kx + 2y = 5$ has:
→- A unique solution,
- No solution.
Following is the distribution of marks of 70 students in a periodical test:
Draw a cumulative frequency for the above data.
|
Marks
|
Less than 10
|
Less than 20
|
Less than 30
|
Less than 40
|
Less than 50
|
|
Number of students
|
3
|
11
|
28
|
48
|
70
|
Very-Short and Short-Answer Qustions:
If $\cot\theta=\frac{1}{\sqrt{3}},$ write the value of $\frac{\big(1-\cos^2\theta\big)}{\big(2-\sin^2\theta\big)}.$
→If $\cot\theta=\frac{1}{\sqrt{3}},$ write the value of $\frac{\big(1-\cos^2\theta\big)}{\big(2-\sin^2\theta\big)}.$