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The number of solutions of x2 – 7|x| + 12 = 0 is
x2 – 7 |x|+ 12 = 0 x2 – 7x + 12 = 0 x2 – 4x – 3x + 12 = 0 x( x – 4) – 3(x – 4) = 0 (x – 4) (x – 3) = 0 x - 4 = 0 or x – 3 = 0 x = 4 or x = 3 x2 – (- 7x) + 12 = 0 x2 + 4x + 3x + 12 = 0 x( x + 4) + 3(x + 4) = 0 (x + 4) (x + 3) = 0 x + 4 = 0 or x + 3 = 0 x = - 4 or x = - 3
So in total there are 4 solutions of x = 4, 3, - 4, - 3
Directions For Questions
A question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the statements is sufficient to answer the question.
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What is the perimeter of the square? I. The square is within a circle. II. A circle of radius 4 cm passes through the four vertices of the square.
Perimeter of square = ? (I) The square is withing a circle. No dimension of either square or circle is given, so it is not possible to find the side of the square; hence, perimeter would not be found out. (II) Radius of the circle = 4 cm If radius is known, the diagonal of the square could be found which is nothing but diameter of the circle. Once diagonal is known, the side of the square could be found out by using Pythagoras theorem. Hence, only statement II alone is sufficient to answer the question.
The note "Saa" on the Sarod and the Sitar has the same pitch. The property of sound that is most important in distinguishing between the two instruments is
Waveform is the most important property in distinguishing between the two instruments. We cannot distinguish between the two instruments on the basis of displacement amplitude or fundamental frequency or intensity.
Which of the following colours cannot be distinguished by a person suffering from colour blindness?
Colour blindness is a defect of the eye due to which a person is not able to distinguish between certain colours. 99% of the total colour blind people are unable to distinguish between red and green colours.
Two identical blocks of metal are at 20°C and 80°C, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature Tf when the two blocks are bought into contact (assuming that no heat is lost to the surroundings)?
As it is given that specific heat S increases with temperature, S at 80oC would be greater than S at 20oC. Since average temperature will be 50oC but decrease in temperature of body with 80oC will be less than increase in temperature of body with 20oC because of the specific heat; final temperature will be more than 50oC.
We sit in the room with windows open. Then,
We sit in the room with windows open. The air pressure is nearly the same on the floor, the walls and the ceiling because the height of the room is very small as compared to the height of the atmosphere.
The IUPAC name of –C2H5OH i
The IUPAC name of –C2H5OH alcohol is ethanol.
Which of the following options was compared with the dry fruits in a spherical Christmas pudding in the Thomson's model of atom?
Electron was compared with the dry fruits in a spherical Christmas pudding in the Thomson's model of atom.
Order of hybridisation (of carbon) in methane, ethylene and acetylene will be, respectively
In structure of methane there is no double bond, therefore form sp3 structure on hybridisation. Ethylene contains one double bond in its structure therefore form sp2 structure on hybridisation and acetylene contain one triple bond therefore it form sp type structure.
The electronic configuration of 1s2, 2s2 2p6, 3s2, 3p3 corresponds to
The electronic configuration of 1s2, 2s2 2p6, 3s2, 3p3 corresponds to element with atomin number 15. So the element is phosphorus.
The electronic configuration of a dipositive ion M is 2, 8, 14 and its atomic weight is 56. The number of neutrons in the nucleus would be ____________.
M2+ has total number of electrons = 2 + 8 + 14 = 24 Thus, atomic atomic number of M is: 24 + 2 = 26 Number of neutrons = atomic mass - atomic number = 56 - 26 = 30
The geometry & the dipole moment of H2S is
Due to the presence of 2 bond pair and two lone pairs, H2S has angular and has non-zero dipole moment.
The value of univeral gas constant 'R' depends only on the
The value of univeral gas constant 'R' depends only on the units of the measurements.
Which one the following sets of ions represents the collection of isoelectronic species?
isoelectronic species have equal number of electrons.
(a) Number of electrons in K+ (atomic number 19): 18
(b) Number of electrons in Ca2+ (atomic number 20): 18
(c) Number of electrons in Sc3+ (atomic number 21): 18
(d) Number of electrons in Cl- (atomic number 17): 18
Hence, K+, Ca2+, Sc3+, Cl- are isoelectronic species.
The plasma resembles in its composition with the filtrate found in the Bowman's capsule except for the presence of
The plasma resembles in its composition with the filtrate found in the Bowman's capsule except for the presence of proteins.
Which of the following is the master gland of the body?
Pituitary gland is the master gland of the body.
Which of the following diseases cannot be prevented by vaccines?
These diseases cannot be prevented by vaccination.
Identify from the following, the disease that enters the human body through mosquito bite and affects the brain.
It spreads through a mosquito bite and affects the brain.
A disease transmitted by sexual contact is
A disease transmitted by sexual contact is AIDS. Its virus gets transmitted through contact with infected blood, semen or vaginal fluids. Its symptoms are weight loss, fever, fatigue and recurrent infections.
An individual has O blood group. His/her blood sample
If the blood cells clump (agglutinate), the antibody has bound to the appropriate antigen on the cells. Blood group O does not clump when either antiserum A or antiserum B is added because it has no antigens present on its surface.
Which base is present in RNA but not in DNA?
Thymine is present in DNA and absent in RNA. Uracil is present in RNA and absent in DNA.
Which of the following is/are the smallest in size?
Viruses are the smallest. Specific kinds of viruses range in size from a few dozen nanometres up to about 1,000 nanometres or 1 micrometre.
The connecting link between a mother's blood and foetal blood is termed as
An embryo gets nutrition from the mother's blood with the help of a special tissue called placenta. This is a disc which lies in the uterine wall and provides a large surface area for glucose and oxygen to pass from the mother to the embryo for its development. Also, it helps in the removal of waste material from the embryo into the mother's blood. So, the placenta acts as a connecting link between a mother's blood and foetal blood.
What is the scientific name of housefly?
The housefly, Musca domestica, is a fly of the suborder Cyclorrhapha. It is believed to have evolved in the Cenozoic era, possibly in the Middle East, and has spread all over the world. It is the most common fly species found in habitations.
Animals like tigers, wild buffaloes, barasingha, etc. are categorised as
Tigers, wild buffaloes, barasingha, etc. are endangered species.
Dietary fibres are composed of
Fibre consists of non-starch polysaccharides, such as cellulose, dextrins, inulin, lignin, chitins, pectins, beta-glucans, waxes, and oligosaccharides.
The structural adaptation in flowers that prevents self pollination is known as
The structural adaptation in flowers that prevents self pollination is known as herkogamy.
The avian heart is __________.
Aves (birds) are warm blooded animals and have four chambered heart, e.g. ostrich, duck, etc. Mammals also have four chambered heart. Two-chambered heart- is found in pisces (fishes). Three-chambered heart – is found in amphibia (e.g. frogs, toads) and all reptiles (lizards, snakes) except crocodiles as they have four-chambered heart. Five chambered heart – is not present in any member of the animal kingdom.
Two particles A and B, initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is V and that of B is 2V, the speed of the centre of mass of the system is
Since no external force acts on the system, the centre of mass will remain at rest. Hence, the correct choice is (1).
Match the following:
Ribosome is the organelle where translation occurs. Ribosomes are produced in the nucleolus. Francis Crick discovered Central dogma. Replication of DNA is brought about by DNA polymerase.
The nucleolus, golgi complex and ER reform in which of the following phases of the cell cycle?
Nuclear envelope assembles around the chromosome clusters and nucleolus, golgi complex and ER reform in telophase.
When do two chromatids of a chromosome separate from each other?
The poleward movement of chromatids of the chromosomes takes place during this phase.
What is the triangular cartilaginous structure located between the tongue and the trachea called?
The larynx, or voice box, is a triangular cartilaginous structure located between the tongue and the trachea. It is protected anteriorly by the thyroid cartilage.
What do you mean by Residual volume?
Residual volume is the amount of air remaining in the lungs after a forced exhalation.
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