Let α be the distance between the lines – x + y = 2 and x – y = 2 and β be the distance between the lines 4x – 3y = 5 and 6y – 8x = 1, then
1) 20√2β = 11α 2) 20√2α = 11β 3) 11√2β = 20α 4) None of the above Solution: Equation of... View Article
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The distance between the pair of parallel lines given by x2 – 1005x + 2006 = 0 is
1) 1001 2) 1000 3) 1005 4) 2006 Solution: Given x2 – 1005x + 2006 = 0 (x – 2)... View Article
The Orthocentre of a triangle with vertices (0, 0), (3, 4), and (4, 0) is
(1) (3, 12) (2) (3, ¾) (3) (3, 9) (4) none of these Solution: Let O(0, 0), A (4, 0)... View Article
L is a variable line such that the algebraic sum of the distances of the points (1, 1), (2, 0), and (0, 2) from the line is equal to zero. The line L will always pass-through
1) (1, 1) 2) (2, 1) 3) (1, 2) 4) (2, 2) Solution: Let the equation of line L be... View Article
The number of integral points (integral point means both the coordinates should be an integer) exactly in the interior of the triangle with vertices (0,0), (0,21), and (21,0), is
1) 133 2) 190 3) 233 4) 105 Solution: Let the vertices of the triangle be O(0,0), P(0,21), and Q(21,0).... View Article
Can chromium be obtained by electrolysis
Chromium can be obtained from the electrolysis of an aqueous solution of its salt because chromium has a higher reduction... View Article
What are normal modes of oscillation
For an oscillating system, the normal mode is when all the parts of the system move at the same time... View Article
Which is more conducive acid or base?
The conductivity of the acid or base depends on various other factors like the electrolyte concentration, the acidity or the... View Article
Can dry cells be recharged?
Primary batteries are called dry batteries. These batteries carry a fixed quantity of reacting chemicals. These chemicals get exhausted over... View Article
What is the difference between geometric isomers and optical isomers
Geometrical isomers have the same formula but differ in the arrangement of the atoms or groups in the space. They... View Article
Why alcohols are soluble in water
Alcohols form a hydrogen bond with water so it is soluble in water. If the molecular weight of the alcohol... View Article
Which is stronger covalent, ionic or metallic bonds
Covalent bonds are not very strong except for carbon, silicon and diamond. The metallic bonds are strong bonds. The ionic... View Article
Where do we get free radicals
Free radicals are formed either by the metabolism process in the human body or by the external sources like the... View Article
Is HBr an electrophile
When HBr reacts with alkenes it acts as an electrophile since the pi electrons in the alkene react with the... View Article
Which of the following is more paramagnetic
Fe2+ Fe3+ Cr3+ Mn3+ Answer: a. Fe3+ Reason: Fe3+ has 5 unpaired electrons. This is higher than the other elements.... View Article
What is the difference between corrosion and rusting
Both corrosion and rusting are oxidation reactions. Rusting occurs only in iron objects while corrosion occurs in metals and non-metals.... View Article
What is the pH of sodium chloride
Sodium chloride is formed from the reaction of a strong acid and a strong base. In the formation of sodium... View Article
How do buffers work
Buffers maintain the pH value by neutralizing the acid or base added. The buffers make the acid or base weak... View Article
Are alkaline earth metals dangerous
Alkali earth metals are highly flammable. Their reaction will result in the release of heat and cause flames, and even... View Article
What pH is pure water
The pH value of pure water at 250C is 7 but when water is exposed to the carbon dioxide in... View Article
