IIT-JEE 1983Question 6
Find all solutions of $4\cos^{2}x\sin x-2\sin^{2}x=3\sin x$.
Trigonometric Ratio & Identities
Write your solution on paper, then reveal the worked solution to compare.
JEE Mathematics / Practice
Question Bank
Showing 6-10 of 408 questions.
IIT-JEE 1983Question 7
Find three numbers $a,b,c$ between $2$ and $18$ such that
(i) their sum is $25$
(ii) the numbers $2,a,b$ are consecutive terms of an A.P. and
(iii) the numbers $b,c,18$ are consecutive terms of a G.P.
Sequence and Series · Mixed Progressions (AP-GP)
Write your solution on paper, then reveal the worked solution to compare.
IIT-JEE 1982Question 8
Does there exist a geometric progression containing $27$, $8$ and $12$ as three of its terms? If it exists, how many such progressions are possible?
Sequence and Series · Geometric Progression
Write your solution on paper, then reveal the worked solution to compare.
IIT-JEE 1981Question 9
Find the equations of the circles passing through $(-4,3)$ and touching the lines $x+y=2$ and $x-y=2$.
Circle
Write your solution on paper, then reveal the worked solution to compare.
IIT-JEE 1978Question 10
Six X's have to be placed in the squares of the figure below in such a way that each row contains at least one X. In how many different ways can this be done? [Figure: a cross-shaped grid of 8 squares in three rows: the top row has 2 squares, the middle row has 4 squares, the bottom row has 2 squares; the top and bottom pairs lie above and below the two middle squares of the middle row.]
Permutation and Combination
Write your solution on paper, then reveal the worked solution to compare.