If x+y= 3 – cos4theta and x-y= 4sin2theta then prove that x^2 + y^2 – 8x – 8y – 2xy + 16 = 0
x + y = 3 – (1 – 2sin22 ) = 2 + 2sin22 x – y = 4sin2 ⇒... View Article
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The arithmetic mean of the roots of the equation 4cos^3 x – 4cos^2 x – cos(315 + x) = 1 in the interaval (0, 315) is equal to:
We know that cos[(2n+1) + x] = – cos x Therefore, the given equation becomes 4cos3x – 4cos2x + cos... View Article
As the result of a wind blowing normal to the plane of the rectangular sign, a uniform pressure of 175 N/m^² is exerted in the direction shown in the figure. Determine the moment of the resulting force about point 0. Express your result as a vector using the coordinates shown.
Solution: As the net force acts on the center of the body. Force is given by the formula F=pa =175*(600*750)*10^{-6}... View Article
Which of the following characteristics is responsible for resistance to jassids
a) Morphological characteristics b) Biochemical characteristics c) Physiological characteristics d) None of the above Answer: a) Morphological Characteristics Explanation: Hairy... View Article
The inner lining of blood vessels is made of this tissue
a) Connective Tissue b) Muscular Tissue c) Nervous Tissue d) Epithelial Tissue Answer: d) Epithelial Tissue Explanation: The epithelial tissue... View Article
The age structure of a population influences population growth because
a) Different age groups have different reproductive capabilities b) Younger females have more offspring than older ones c) Shorter generation... View Article
Largest heart is found in
a) Elephant b) Giraffe c) Crocodile d) Lion Answer: b) Giraffe Explanation: A Giraffe’s heart is 2 feet long and... View Article
Ecosystem may be defined as
a) Group of Plants b) Group of Plants and Animals c) Group of Plants and Animals along with their environment... View Article
The first stage of the s-shaped growth curve of the population is
a) Log phase b) Lag phase c) Phase of acceleration d) Phase of deceleration Answer: b) Lag phase Explanation: The... View Article
The oesophagus that opens into the stomach is called
a) Glottis b) Gulltet c) Pharynx d) Larynx Answer: b) Gullet Explanation: Oesophagus is the passage by which the food... View Article
The Respiratory quotient of protein, carbohydrate, and fat substrates are in the order
a) 0.7, 1, -1 b) 0.9, 1, less than 1 c) 0, -1, 1 d) 1, 0.9, less than 1... View Article
The pitch of the double-stranded B-DNA helix is
a) 34 A b) 3.4 A c) 3.4 nm d) Both A and C Answer: d) Both A and C... View Article
The cartwheel structure is shown by the
a) Cilia b) Flagella c) Centriole d) All the above Answer: d) All the above Explanation: Centrosome is an organelle... View Article
The mature gametophyte of Funaria has the following
a) Rhizoids b) Leaves c) Stem or Main axis d) All the above Answer: d) All the above Explanation: Funaria... View Article
Even in the absence of pollinating agents, the seed setting is assured in
a) Zostera b) Commelina c) Salvia d) Ficus Answer: b) Commelina Explanation: Commelina is a type of flower that never... View Article
Which of the following is common in both prokaryotes and eukaryotes
a) Ribosomes b) Endoplasmic Reticulum c) Mitochondria d) None of the above Answer: a) Ribosomes Explanation: The eukaryotes have membrane-bound... View Article
The number of wrist bones is
a) Seven b) Six c) Eight d) Nine Answer: c) Eight Explanation: There are eight small bones called carpal bones... View Article
Oxygen Toxicity is associated with which of the following
a) Failure of ventilation of Lungs b) Blood Poisoning c) The collapse of the alveolar wall d) Both B and... View Article
‘Aves’ taxonomically represent a
a) Kingdom b) Phylum c) Class d) Family Answer: c) Class Explanation: Aves or Birds belong to the Animal Kingdom.... View Article
Custard Apple is an aggregate fruit of
a) Berries b) Drupes c) Achenes d) Hypanthodium Answer: a) Berries Explanation: The inner layer of the pericarp and the... View Article
