Let L be the set of all lines in a plane and R be the relation in L defined as \(R = \{(L_1, L_2) : L_1 \text{ is perpendicular to } L_2\}\) then R is:A. Reflexive
B. Symmetric
C. neither reflexive nor transitive
D. Transitive
E. neither reflexive nor symmetric
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For an astronomical telescope with 10 m focal length objective and 10 cm eyepiece, tube length and magnification are :

The probability of guessing correctly atleast 8 out of 10 answers on a true false type examination is :

For \(y=x e^x\), which of the following is correct ?

If the points \((2,-3),(\lambda,-1)\) and \((0,4)\) are collinear, then the value of \(\lambda\) is:

Let \(\left|\begin{array}{cc}x & 2 \\ 18 & x\end{array}\right|=\left|\begin{array}{ll}-4 & -2 \\ -8 &-4\end{array}\right|\). Then :
(A) \(x=-4\)
(B) \(x=-6\)
(C) \(x=4\)
(D) \(x=6\)
Choose the correct answer from the options given below :

In an LPP, the feasible region represented by the set off constraints \(2 x+3 y \leq 18, x+y \leq 10, x \geq 0, y \geq 0\) is

Consider the following L.P.P.
Minimize \(z=400 x+300 y\), subject to \(100 x+200 y \geq 12000,300 x+400 y \geq 20000,200 x+100 y \geq 15000\) and \(x, y \geq 0\). Then

A capacitor of capacitance C is first charged by a battery of V volts. It is disconnected from the battery and is filled with a dielectric of dielectric constant K. The ratio of energy stored in the two cases, respectively will be

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Which one is the correct electronic configuration of sulphur?

With reference to the microorganisms involved in production, identify the odd combination.

Match List-I With List-II

LISt – I (Material)	LIST – II (Values)
(A) Gold	(I) \(4.5 \times 10^3\)
(B) Glass	(II) \(3.5 \times 10^{-5}\)
(C) Silicon	(III) \(1.0 \times 10^{-16}\)
(D) Pure water	(IV) \(1.5 \times 10^{-2}\)

Choose the correct answer from the options below:

Current carrying wire produces: