Question
Find the sum of odd numbers between 0 and 50.
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Answer
Self
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Find the area and perimeter of the following sector :Diameter $= 42\ cm,$ angle at the centre is $100·.$
→Solve the inequation and represent the solution set on the number line.
$
-3+x \leq \frac{8 x}{3}+2 \leq \frac{14}{3}+2 x \text {, Where } x \in I
$
→$
-3+x \leq \frac{8 x}{3}+2 \leq \frac{14}{3}+2 x \text {, Where } x \in I
$
A page from the passbook of Mrs. Rama Bhalla is given below:
Calculate the interest due to Mrs. Bhalla for the period from January $2004$ to December $2004,$ at the rate of $5\%$ per annum.
→Calculate the interest due to Mrs. Bhalla for the period from January $2004$ to December $2004,$ at the rate of $5\%$ per annum.
| Date Year 2004 |
Particulars | Amount (₹) Withdrawals |
Amount (₹)Deposits |
Balance (₹) |
| January 1 | B/F | - | - | 2,000.00 |
| January 9 | By cash | - | 200.00 | 2,200.00 |
| February 10 | To cheque | 500.00 | - | 1,700.00 |
| February 24 | By cheque | - | 300.00 | 2,000.00 |
| July 29 | To cheque | 200.00 | - | 1,800.00 |
| November 7 | By cash | - | 300.00 | 2,100.00 |
| December 8 | By cash | - | 200.00 | 2,300.00 |
Prove the following identity:
$
\frac{\operatorname{cosec} A}{\operatorname{cosec} A-1}+\frac{\operatorname{cosec} A}{\operatorname{cosec} A+1}=2 \sec ^2 A
$
→$
\frac{\operatorname{cosec} A}{\operatorname{cosec} A-1}+\frac{\operatorname{cosec} A}{\operatorname{cosec} A+1}=2 \sec ^2 A
$
ABCDE is a cyclic pentagon with centre of its circumcircle at point O such that AB = BC = CD and angle ABC=120°.
Calculate: ∠ BED.
Calculate: ∠ BED.
The following figure shows a triangle ABC in which AD and BE are perpendiculars to BC and AC respectively.
Show that;
(i) ΔADC ~ ΔBEC
(ii) CA × CE = CB × CD
(iii) ΔABC ~ ΔDEC
(iv) CD × AB = CA × DE
Show that;
(i) ΔADC ~ ΔBEC
(ii) CA × CE = CB × CD
(iii) ΔABC ~ ΔDEC
(iv) CD × AB = CA × DE
Solve equation using factorisation method:
$x+\frac{1}{x}=2.5$
→$x+\frac{1}{x}=2.5$
Find the point of intersection of the lines: 4x + 3y = 1 and 3x − y + 9 = 0. If this point lies on the line (2k – 1) x – 2y = 4; find the value of k.
Find the value of x, if $\cos(2x - 6) = \cos^230^\circ - \cos^260^\circ$
→If $m: n$ is the duplicate ratio of $m + x: n + x$; show that $x^2 = mn$.
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