1
IIT-JEE 1979
Subjective
+4
-0
(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 $$4x - 3y + 2 = 0$$.
(b) Find the equation of the line which bisects the obtuse angle between the lines $$x - 2y + 4 = 0$$ and $$4x - 3y + 2 = 0$$.
2
IIT-JEE 1979
Subjective
+4
-0
Find the derivative of
$$$f\left( x \right) = \left\{ {\matrix{
{{{x - 1} \over {2{x^2} - 7x + 5}}} & {when\,\,x \ne 1} \cr
{ - {1 \over 3}} & {when\,\,x = 1} \cr
} } \right.$$$
at $$x=1$$
at $$x=1$$
3
IIT-JEE 1979
MCQ (Single Correct Answer)
+1
-0.25
If the bisector of the angle $$P$$ of a triangle $$PQR$$ meets $$QR$$ in $$S$$, then
4
IIT-JEE 1979
Subjective
+5
-0
(a) A balloon is observed simultaneously from three points $$A, B$$ and $$C$$ on a straight road directly beneath it. The angular elevation at $$B$$ is twice that at $$A$$ and the angular elevation at $$C$$ is thrice that at $$A$$. If the distance between $$A$$ and $$B$$ is a and the distance between $$B$$ and $$C$$ is $$b$$, find the height of the balloon in terms of $$a$$ and $$b$$.
(b) Find the area of the smaller part of a disc of radius $$10$$ cm, cut off by a chord $$AB$$ which subtends an angle of at the circumference.
Paper analysis
Total Questions
Chemistry
14
Mathematics
23
Physics
2
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