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Yukti Vault

JEE Mathematics / Practice

Question Bank

Showing 21-25 of 408 questions.

IIT-JEE 1980Question 21
A straight line $L$ is perpendicular to the line $5x-y=1$. The area of the triangle formed by the line $L$ and the coordinate axes is $5$. Find the equation of the line $L$.
Points and Straight Lines

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IIT-JEE 1978Question 22
A straight line segment of length $\ell$ moves with its ends on two mutually perpendicular lines. Find the locus of the point which divides the line segment in the ratio $1:2$.
Points and Straight Lines

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IIT-JEE 1979Question 23
(a) Two vertices of a triangle are $(5,-1)$ and $(-2,3)$. If the orthocentre of the triangle is the origin, find the coordinates of the third point. (b) Find the equation of the line which bisects the obtuse angle between the lines $x-2y+4=0$ and $4x-3y+2=0$.
Points and Straight Lines

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IIT-JEE 1978Question 24
The area of a triangle is $5$. Two of its vertices are $A(2,1)$ and $B(3,-2)$. The third vertex $C$ lies on $y=x+3$. Find $C$.
Points and Straight Lines

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IIT-JEE 1980Question 25
Find the real values of $x$ and $y$ for which the following equation is satisfied: $$\frac{(1+i)x-2i}{3+i}+\frac{(2-3i)y+i}{3-i}=i$$
Complex Numbers

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