IIT-JEE 1978

Paper was held on
Tue, Apr 11, 1978 9:00 AM

## Chemistry

27 g of Al will react completely with how many grams if oxygen?

View Question A compound was found to contain nitrogen and oxygen in the ratio 28 gm and 80 gm respectively. The formula of compound i

View Question What weight of AgCl will be precipitated when a solution containing 4.77 g of NaCl is added to a solution of 5.77g of Ag

View Question One gram of an alloy of aluminium and magnetism when treated with excess of dil. HCl forms magnesium chloride, aluminiu

View Question Igniting MnO2 converts it quantitatively to Mn3O4. A sample of pyrolusite is of the following composition : MnO2 80%, Si

View Question Naturally occurring boron consists of two isotopes whose atomic weighs are 10.01 and 11.01. The atomic weight of natural

View Question The substance absorbs CO2 and violently reacts with water. The substance is

View Question What is the molarity and molality of a 13% solution (by weight) of sulphuric acid with a density of 1.02 g/ml? To what v

View Question ## Mathematics

If x = a + b, y = a$$\gamma $$ + b$$\beta $$ and z = a$$\beta $$ +b$$\gamma $$ where $$\gamma $$ and $$\beta $$ are th

View Question Express $${1 \over {1 - \cos \,\theta + 2i\sin \theta }}$$ in the form x + iy.

View Question If $$\tan \alpha = {m \over {m + 1}}\,$$ and $$\tan \beta = {2 \over {2m + 1}},$$ find the possible values of $$\left

View Question If $$\left( {m\,,\,n} \right) = {{\left( {1 - {x^m}} \right)\left( {1 - {x^{m - 1}}} \right).......\left( {1 - {x^{m - n

View Question Solve for $$x:{4^x} - {3^{^{x - {1 \over 2}}}}\, = {3^{^{x + {1 \over 2}}}}\, - {2^{2x - 1}}$$

View Question Solve for $$x:\,\sqrt {x + 1} - \sqrt {x - 1} = 1.$$

View Question Solve the following equation for $$x:\,\,2\,{\log _x}a + {\log _{ax}}a + 3\,\,{\log _{{a^2}x}}\,a = 0,a > 0$$

View Question Show that the square of $$\,{{\sqrt {26 - 15\sqrt 3 } } \over {5\sqrt 2 - \sqrt {38 + 5\sqrt 3 } }}$$ is a rational num

View Question Find all integers $$x$$ for which $$\left( {5x - 1} \right) < {\left( {x + 1} \right)^2} < \left( {7x - 3} \right)

View Question Sketch the solution set of the following system of inequalities:
$$${x^2} + {y^2} - 2x \ge 0;\,\,3x - y - 12 \le 0;\,\,

View Question Six X' s have to be placed in the squares of figure below in such a way that each row contains at least one X. In how ma

View Question A straight line segment of length $$\ell $$ moves with its ends on two mutually perpendicular lines. Find the locus of t

View Question The area of a triangle is $$5$$. Two of its vertices are $$A\left( {2,1} \right)$$ and $$B\left( {3, - 2} \right)$$. The

View Question One side of rectangle lies along the line $$4x + 7y + 5 = 0.$$ Two of its vertices are $$(-3, 1)$$ and $$(1, 1).$$ Find

View Question Find the equation of the circle whose radius is 5 and which touches the circle $${x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, -

View Question Find the derivative of $$\sin \left( {{x^2} + 1} \right)$$ with respect to $$x$$ first principle.

View Question A triangle $$ABC$$ has sides $$AB=AC=5$$ cm and $$BC=6$$ cm Triangle $$A'B'C'$$ is the reflection of the triangle $$ABC$

View Question Evaluate $$\int {{{\sin x} \over {\sin x - \cos x}}dx} $$

View Question Balls are drawn one-by-one without replacement from a box containing $$2$$ black, $$4$$ white and $$3$$ red balls till a

View Question From a point $$O$$ inside a triangle $$ABC,$$ perpendiculars $$OD$$, $$OE, OF$$ are drawn to the sides $$BC, CA, AB$$ re

View Question ## Physics

A car accelerates from rest at a constant rate $$\alpha $$ for some time after which it decelerates at a constant rate $

View Question A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. Wh

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