Question
Find the distance between the points $P(-1,1)$ and $Q(5,-7)$.
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→In figure 3.52 , chords $\mathrm{PQ}$ and $\mathrm{RS}$ intersect at $\mathrm{T}$.
(i) Find $m$ (arc SQ) if $m \angle \mathrm{STQ}=58^{\circ}, m \angle \mathrm{PSR}=24^{\circ}$.
(ii) Verify,
$\angle \mathrm{STQ}=\frac{1}{2}[m(\operatorname{arc} \mathrm{PR})+m(\operatorname{arcSQ})]$
(iii) Prove that :
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(iv) Write in words the property in (iii).
→(i) Find $m$ (arc SQ) if $m \angle \mathrm{STQ}=58^{\circ}, m \angle \mathrm{PSR}=24^{\circ}$.
(ii) Verify,
$\angle \mathrm{STQ}=\frac{1}{2}[m(\operatorname{arc} \mathrm{PR})+m(\operatorname{arcSQ})]$
(iii) Prove that :
$\angle \mathrm{STQ}=\frac{1}{2}[m(\operatorname{arc} \mathrm{PR})+m(\operatorname{arcSQ})]$ for any measure of $\angle \mathrm{STQ}$.
(iv) Write in words the property in (iii).
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→Write the Modal class
Class interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 |
Frequency | 30 | 35 | 40 | 75 | 15 |
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$\sin \text{C}, \cos \text{C}$
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Company A: 450 shares, face value $= \imath 100$
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Market Value = ₹ 205
Company C: 80 shares, face value $-₹ 100$
Discount $=₹ 15$
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Premium $=₹ 25$
Company B: 500 shares, face value $-₹ 100$
Market Value = ₹ 205
Company C: 80 shares, face value $-₹ 100$
Discount $=₹ 15$
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