1
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
The points $$\left( { - a,\, - b} \right),\,\left( {0,\,0} \right),\,\left( {a,\,b} \right)$$ and $$\left( {{a^2},\,ab} \right)$$ are :
A
Collinear
B
Vertices of a parallelogram
C
Vertices of a rectangle
D
None of these
2
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 $$4x - 3y + 2 = 0$$.
3
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 $$x=1$$
4
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
A
$$QS=SR$$
B
$$QS:SR$$ $$= PR:PQ$$
C
$$QS:SR=PQ:PR$$
D
None of these
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