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Yukti Vault

JEE Mathematics / Practice

Question Bank

Showing 11-15 of 408 questions.

IIT-JEE 1981Question 11
Five balls of different colours are to be placed in three boxes of different size. Each box can hold all five. In how many different ways can we place the balls so that no box remains empty?
Permutation and Combination

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IIT-JEE 1978Question 12
Find the equation of the circle whose radius is $5$ and which touches the circle $x^{2}+y^{2}-2x-4y-20=0$ at the point $(5,5)$.
Circle

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IIT-JEE 1981Question 13
Let $A$ be the centre of the circle $x^{2}+y^{2}-2x-4y-20=0$. Suppose that the tangents at the points $B(1,7)$ and $D(4,-2)$ on the circle meet at the point $C$. Find the area of the quadrilateral $ABCD$.
Circle

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IIT-JEE 1978Question 14
Find all integers $x$ for which $(5x-1)<(x+1)^{2}<(7x-3)$.
Quadratic Equation · Sign, Range and Inequalities of Quadratic Expressions

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IIT-JEE 1980Question 15
The interior angles of a polygon are in arithmetic progression. The smallest angle is $120^\circ$, and the common difference is $5^\circ$. Find the number of sides of the polygon.
Sequence and Series · Arithmetic Progression

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