ನೀಲಿ ಹೂವುಗಳು (RR) ಮತ್ತು ಉದ್ದವಾದ ಪರಾಗ (R_(0) R_(0)) ಹೊಂದಿರುವ ಹೋಮೋಜೈಗಸ್ ಸಿಹಿ ಬಟಾಣಿ ಸಸ್ಯಗಳು ವೋ ದಾಟಿದೆ...

A homozygous sweet pea plants with blue flowers (RR) and long pollen (R_(0) R_(0)) is crossed woth a homozygous p[lant having red flowers (rr) and round poolen (r_(0)r_(0)) The resultant F_(1) hybrid is test crossed .Which of the following genototype does not appear in its progeny

Let the function f : (0, pi) to RR be defined by f(theta = (sin theta + cos theta)^(2) +(sin theta - cos theta)^(4) Suppose the function f has a local minimum at theta precisely when theta in { lambda_(1),pi,....,lambda_(r )pi} , where 0 lt lambda_(1) lt ....lt lambda_(r ) lt 1 . Then the value of lambda_(1)+....+lambda_(r ) is _______

Let f:(0,oo)rarr RR be given by f(x)=int_(1//x)^x e^-(t+1/t) dt/t. Then (i) f(x) is monotonically increases in (1,infty) (ii)f(x) is monotonically decreases in (0.1) (iii) f(x) +f(1/x)= 0 far all x in (0,infty) (iv) f(2^x) is an odd function of x on R

A small block of mass m=1kg is pulled slowly by applying a tangential force along a quarter circular arc of radius R = 0.1 m from (0,0) to (R, R). The coefficient of friction varies in x-y plane asu (x 2. The modulus of work done by the frictional force on the block is y J. then y= = (R.R)

Let s , t , r be non-zero complex numbers and L be the set of solutions z=x+i y (x , y in RR, i=sqrt(-1)) of the equation s z+t z +r=0 , where z =x-i y . Then, which of the following statement(s) is (are) TRUE? If L has exactly one element, then |s|!=|t| (b) If |s|=|t| , then L has infinitely many elements (c) The number of elements in Lnn{z :|z-1+i|=5} is at most 2 (d) If L has more than one element, then L has infinitely many elements

0:7Let p, q, r e R such that 3qgtp2. Then the function g: RR given by g(x)= x3 + px2 + qx +r, is(A) one-one and onto(B) onto but not one-one(C) one-one but not onto(D) neither one-one nor onto

The functions RR,g:R R are defined as f(x)={0, whenxis rational and 1 when x is irrational } and g(x)={-1 when x is rational and 0 when x~ is~ irrational}~ find~ fog (pi) and gof(e)

Two circles C(0,r) and C(O',r') touch extemally.Show that the length of a common tangent (not through the point of contact of the circles ) is 2sqrt(rr)'