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Preeti Dabral 2 years, 11 months ago
Certain pteridophytes produce two kinds of spores. This phenomenon is called heterospory.
Heterospory is the crucial step in evolution. This ultimately led to seed development in gymnosperms and angiosperms.
Examples: Selaginella, Salvinia.
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Preeti Dabral 3 years, 1 month ago
धनराम मोहन को अपना प्रतिद्वंद्वी इसलिए नहीं समझता था क्योंकि वह जानता था कि मोहन एक बुद्धिमान लड़का है। वह मास्टर जी के कहने पर ही उसको सजा देता था। धनराम मोहन के प्रति स्नेह और आदर का भाव रखता था। शायद इसका एक कारण यह था कि बचपन से ही उसके मन में जातिगत हीनता की भावना बिठा दी गई थी
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Preeti Dabral 3 years, 1 month ago
The title of the chapter ‘The Birth’ is perfect. The theme of the story is about a young doctor, Andrew dealing with a critical birth case. The baby is born lifeless. He takes certain decisions that prove quite successful. Not only he succeeds in saving the mother who is in critical condition after the delivery, but also succeeds in reviving the child. So the baby born lifeless is born again owing to the efforts of the dedicated doctor. Hence the title is perfectly appropriate and justified.
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Preeti Dabral 3 years, 1 month ago
{tex}\begin{aligned} & \text { Let } y=f(x)=\operatorname{cosec} x \\ & \therefore f(x+h)=\operatorname{cosec}(x+h) \\ & \therefore \frac{d y}{d t}=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\ & =\lim _{h \rightarrow 0} \frac{\operatorname{cosec}(x+h)-\operatorname{cosec} x}{h} \\ & =\lim _{h \rightarrow 0} \frac{1}{h}\left[\frac{1}{\sin (x+h)}-\frac{1}{\sin x}\right] \\ & =\lim _{h \rightarrow 0} \frac{\sin x-\sin (x+h)}{h \cdot \sin x \cdot \sin (x+h)} \\ & =\lim _{h \rightarrow 0} \frac{2 \cos \left(\frac{2 x+h}{2}\right) \sin \left(-\frac{h}{2}\right)}{h \cdot \sin x \sin (x+h)} \\ & =-\lim _{h \rightarrow 0} \frac{\cos \left(x+\frac{h}{h}\right)}{\sin x \cdot \sin (u+h)} \cdot \lim _{h \rightarrow 0} \frac{\sin \frac{h}{2}}{h / 2} \\ & =-\frac{1 \cos x}{\sin x \cdot \sin x} \cdot \lim _{z \rightarrow 0} \frac{\sin z}{z} \\ & {\left[z=\frac{h}{2} \text {; Then, } z \rightarrow 0 \text { when } \Rightarrow h \rightarrow 0\right]} \\ & =\frac{-\cos x}{\sin x \cdot \sin x} \cdot 1 \\ & =-\frac{\cos x}{\sin x} \cdot \frac{1}{\sin x} \\ & =-\operatorname{cosec} x . \cot x \\ & \therefore \frac{d y}{d x}=-1 \operatorname{csec} x \cdot \cot x \\ & \end{aligned}{/tex}
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Preeti Dabral 3 years, 1 month ago
Centripetal force : It is the force on an object on a circular path that keeps the object moving on the path. It is always directed towards the center and its magnitude is constant, based on the mass of the object, its tangential velocity, and the distance of the object (radius) from the center of the circular path.
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