Answer : Option AExplaination / Solution:
Order of a differential equation is defined as the order of the highest order derivative of the dependent variable present in the differential equation.
Q4.If l, m, n are the direction cosines of a line, then
Answer : Option DExplaination / Solution: we know that direction cosines is coefficient of i,j,k of unit vector along that line ,i.e those coefficient are l,m,n .the length of the line r is such that r→=liˆ+mjˆ+nkˆ and magnitute of unit vector r is 1 and .l2+m2+n2−−−−−−−−−−√ on squaring both side we get l2+m2+n2=1.
Q7.If the graph of a differentiable function y = f (x) meets the lines y = – 1 and y = 1, then the graph
Answer : Option CExplaination / Solution:
Since the graph cuts the lines y = -1 and y = 1 , therefore ,it must cut y = 0 atleast once as the graph is a continuous curve in this case.
Q9.Which of the following types of problems cannot be solved by linear programming methods
Answer : Option AExplaination / Solution:
Traffic signal control types of problems cannot be solved by linear programming methods, because there is no need for optimization in such problems.
Q10.If R is a relation from a non – empty set A to a non – empty set B, then
Answer : Option CExplaination / Solution:
Let A and B be two sets . Then a relation R from set A to set B is a subset of A×B.Thus , R is a relation from A to B ⇔R⊆A×B⇔R⊆A×B.
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0