1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If b > a, then the equation (x - a) (x - b) - 1 = 0 has
A
both roots in (a, b)
B
both roots in (- $$\infty $$, a)
C
both roots in (b, + $$\infty $$)
D
one root in (- $$\infty $$, a) and the other in (b, + $$\infty $$)
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$\alpha \,\text{and}\,\beta $$ $$(\alpha \, < \,\beta )$$ are the roots of the equation $${x^2} + bx + c = 0\,$$, where $$c < 0 < b$$, then
A
$$0 < \alpha \, < \,\beta \,$$
B
$$\alpha \, < \,0 < \beta \,<\left| \alpha \right|$$
C
$$\alpha \, < \beta \, < 0\,$$
D
$$\alpha \, < \,0 < \left| \alpha \right| < \beta $$
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
For the equation $$3{x^2} + px + 3 = 0$$. p > 0, if one of the root is square of the other, then p is equal to
A
1/3
B
1
C
3
D
2/3
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
For $$2 \le r \le n,\,\,\,\,\left( {\matrix{ n \cr r \cr } } \right) + 2\left( {\matrix{ n \cr {r - 1} \cr } } \right) + \left( {\matrix{ n \cr {r - 2} \cr } } \right) = $$
A
$$\left( {\matrix{ {n + 1} \cr {r - 1} \cr } } \right)$$
B
$$2\left( {\matrix{ {n + 1} \cr {r + 1} \cr } } \right)$$
C
$$2\left( {\matrix{ {n + 2} \cr r \cr } } \right)$$
D
$$\left( {\matrix{ {n + 2} \cr r \cr } } \right)$$
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