class 12

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JEE Main

The hottest region of Bunsen flame shown in the figure below is :

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The number of common tangents to the circles $x_{2}+y_{2}-4x-6y-12=0$ and $x_{2}+y_{2}+6x+18y+26=0$, is :

The locus of the foot of perpendicular drawn from the centre of the ellipse $x_{2}+3y_{2}=6$on any tangent to it is

Let $a,b$and $c$ be three non-zero vectors such that no two of them are collinear and $(a×b)×c=31 ∣c∣∣∣ b∣∣ ∣a∣$. If $θ$is the angle between vectors $b$and $c$then a value of $sinθ$is :

The number of geometric isomers that can exist for square planar $[Pt(Cl)(py)(NH_{3})(NH_{2}OH)]_{+}$ is (py = pyridine):

The equation of the circle passing through the foci of the ellipse $16x_{2} +9y_{2} =1$, and having centre at (0, 3) is

Which of the vitamins given below is water soluble ?

The real number k for which the equation, $2x_{3}+3x+k=0$has two distinct real roots in [0, 1]

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?