List of practice Questions

What are chasmogamous flower? Can cross-pollination occur in cleistogamous flowers? Give reason for your answer.
What is meant by monosporic development of female gametophyte?
Find the area of the region bounded by the curve y2=4x and the line x=3
Arrange the following terms in the correct developmental sequence: Pollen grain, sporogenous tissue, microspore tetrad, pollen mother cell, male gametes
Find the area bounded by the curve x2=4y and the line x=4y-2
\(∫_0^\frac{2}{3} \frac{dx}{4+9x^2}\) equals
\(∫_1^{\sqrt{3}}\frac{dx}{1+x^2}\)  equals
Evaluate the definite integral: \(∫^{\frac{\pi}{4}}_0 sin2xdx\)
Find the maximum area of an isosceles triangle inscribed in the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) with its vertex at one end of the major axis.

 
What is self-incompatibility? Why does self-pollination not lead to seed formation in self-incompatible species?
Differentiate between microsporogenesis and megasporogenesis. Which type of cell division occurs during these events? Name the structures formed at the end of these two events.
Find the intervals in which the function f given by  \(f(x)=x^3+\frac{1}{x^3},x≠0\) is (i)increasing (ii)decreasing
Use Lenz’s law to determine the direction of induced current in the situations described by Fig. 6.16:
  1. A wire of irregular shape turning into a circular shape
  2. A circular loop being deformed into a narrow straight wire
the direction of induced current
Name the parts of an angiosperm flower in which development of male and female gametophyte take place.
Which of the following is not true for a species ?
The standard EMF of Daniel cell is 1.10 volt. The maximum electrical work obtained from the Daniel cell is
Show that the normal at any point θ to the curve \(x=acosθ+aθsinθ,y=asinθ-aθcosθ\) is at a constant distance from the origin.
Find the equation of the normal to curve \(y^2=4x\) at the point (1,2)
Using differentials,find the approximate value of each of the following (a) \((\frac{17}{81})^\frac{1}{4}\) (b) \((33)^{-\frac{1}{5}}\)
Prove that the function given by f(x)=x3-3x2+3x-100 is increasing in R
Prove that the function f given by f(x) = log cos x is strictly decreasing on \((0,\frac{\pi}{2})\) and strictly increasing on \((\frac{\pi}{2},\pi)\).
Prove that the function f given by f(x) = log sin x is strictly increasing on \((0,\frac{\pi}{2})\) and strictly decreasing on \((\frac{\pi}{2},\pi)\).

Examine if Rolle’s Theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s Theorem from these examples?
\((i)f(x)=[x]\,for\, x∈[5,9]\)
\((ii)f(x)=[x]\,for\, x∈[-2,2]\)
\((iii)f(x)=[x^2]\,for\, x∈[1,2]\)

Differentiate the following w.r.t. x: log(cos ex)
Solve system of linear equations, using matrix method. 
2x-y=-2
3x+4y=3