List - I | List - II |
---|---|
A) Kinetin | IV) Adenine derivatives |
B) ABA (Abscisic Acid) | I) Terpenes |
C) GA3 (Gibberellic Acid) | I) Terpenes |
D) IAA (Indole Acetic Acid) | III) Indole compound |
A) Kinetin → Adenine derivatives (IV)
Kinetin is a type of cytokinin, which is a class of plant hormones that promote cell division. Chemically, cytokinins like kinetin are derivatives of adenine, a purine base found in nucleic acids. This adenine base structure is crucial for its activity in stimulating cell division and growth.
B) ABA (Abscisic Acid) → Terpenes (I)
Abscisic Acid (ABA) is a plant hormone involved primarily in stress responses, such as drought tolerance, and in seed dormancy. ABA is derived from carotenoids, which are terpenoid compounds. Terpenes are a large and diverse class of organic compounds made from isoprene units, and ABA chemically belongs to this group.
C) GA3 (Gibberellic Acid) → Terpenes (I)
Gibberellic Acid (GA3) is a plant growth hormone that promotes stem elongation, seed germination, and flowering. It is a diterpenoid compound, meaning it is synthesized from four isoprene units, placing it in the terpene class. Hence, GA3 is chemically classified as a terpene.
D) IAA (Indole Acetic Acid) → Indole compound (III)
Indole Acetic Acid (IAA) is the most common naturally occurring auxin, a hormone regulating plant growth and development. It contains an indole ring structure, which is a bicyclic structure consisting of a benzene ring fused to a pyrrole ring. This chemical nature classifies IAA as an indole compound.
A) Kinetin → IV) Adenine derivatives
B) ABA → I) Terpenes
C) GA3 → I) Terpenes
D) IAA → III) Indole compound
If \( \vec{u}, \vec{v}, \vec{w} \) are non-coplanar vectors and \( p, q \) are real numbers, then the equality:
\[ [3\vec{u} \quad p\vec{v} \quad p\vec{w}] - [p\vec{v} \quad \vec{w} \quad q\vec{u}] - [2\vec{w} \quad q\vec{v} \quad q\vec{u}] = 0 \]
holds for:
Statement-I: In the interval \( [0, 2\pi] \), the number of common solutions of the equations
\[ 2\sin^2\theta - \cos 2\theta = 0 \]
and
\[ 2\cos^2\theta - 3\sin\theta = 0 \]
is two.
Statement-II: The number of solutions of
\[ 2\cos^2\theta - 3\sin\theta = 0 \]
in \( [0, \pi] \) is two.
If \( A \) and \( B \) are acute angles satisfying
\[ 3\cos^2 A + 2\cos^2 B = 4 \]
and
\[ \frac{3 \sin A}{\sin B} = \frac{2 \cos B}{\cos A}, \]
Then \( A + 2B = \ ? \)
If
\[ \sin \theta + 2 \cos \theta = 1 \]
and
\[ \theta \text{ lies in the 4\textsuperscript{th} quadrant (not on coordinate axes), then } 7 \cos \theta + 6 \sin \theta =\ ? \]