1
IIT-JEE 1991
Fill in the Blanks
+2
-0
If a circle passes through the points of intersection of the coordinate axes with the lines $$\lambda \,x - y + 1 = 0$$ and x - 2y + 3 = 0, then the value of $$\lambda $$ = .........
2
IIT-JEE 1991
Subjective
+4
-0
Find the equation of the line passing through the point $$(2, 3)$$ and making intercept of length 2 units between the lines $$y + 2x = 3$$ and $$y + 2x = 5$$. IIT-JEE 1991 Mathematics - Straight Lines and Pair of Straight Lines Question 7 English
3
IIT-JEE 1991
Subjective
+4
-0
Two circles, each of radius 5 units, touch each other at (1, 2). If the equation of their common tangent is 4x + 3y = 10, find the equation of the circles.
4
IIT-JEE 1991
Subjective
+4
-0
Three normals are drawn from the point $$(c, 0)$$ to the curve $${y^2} = x.$$ Show that $$c$$ must be greater than $$1/2$$. One normal is always the $$x$$-axis. Find $$c$$ for which the other two normals are perpendicular to each other.
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