The point of local maxima of the function \(f(x)=(x-2)^5(x+2)^2\) is

Let \(A\) and \(B\) be two invertible square matrices of same order, then which of the following is not correct?

Consider the curves, \(x^2+y^2=1\) and \((x-1)^2+y^2=1\).
Points of intersection of two curves are :

If \(x=2 a t, y=a t^2\), where ' a ' is a constant, then \(\frac{d^2 y}{d x^2}\) at \(x=2\) is :

Rahul can run 34.4 m in the given time as Amit runs 50 m. By how much distance Rahul is away from Amit at the winning point, in a two km race?

If \(f(x)=\left\{\begin{array}{ll}\frac{\sin \pi x}{5 x}, & x \neq 0 \\ k, & x=0\end{array}\right.\) is continuous at \(x=0\), then \(k\) is :

If \(e^y(x+1)=1\) and \(\frac{d^2 y}{d x^2}=k\left(\frac{d y}{d x}\right)^2\), then \(k\) is equal to

Which of the following cannot be explained by the open chain structure of glucose?

In the (i) absence of electric field, and in the (ii) presence of electric field, the paths of electrons between successive collisions with the positive ions of the metal, are

Arrange the following in the increasing order of their energy band gap
(A) Si
(B) Ge
(C) C
(D) Sn
Choose the correct answer from the options given below:

Match List-I with List-II

List-I (Types of evolution)	List-II (Examples)
(A) Divergent evolution	(I) Moths
(B) Adaptive radiation	(II) Eyes of octopus and mammals
(C) Convergent evolution	(III) Darwin's finches
(D) Industrial melanism	(IV) Thorn of Bougainvillea and tendrils of Cucurbita

Choose the correct answer from the options given below:

MONOHYBRID CROSS
The inheritance of flower color in the dog flower (Snapdragon or Antirrhinum sp.) can be understood by crossbreeding between true-breeding red-flowered (RR) and true-breeding white-flowered plants (rr). When they were crossed, F₁ (Rr) was pink. When F₁ was self-pollinated, the F₂ results were Red, Pink and White. Here the genotype ratios were exactly as expected, but the phenotype ratios have been changed. What happened was that R was not completely dominant over r and this made it possible to distinguish Rr as pink from RR (Red) and rr (White).
What will be the genotypic ratio in F₂ generation when F₁ (Rr) was self-pollinated?

If \(\left|\begin{array}{cc}2 x & 2 \\ 4 & x\end{array}\right|=10\), then \(x\) is: