Matching type questions: Column−IColumn−II(P) Number of points on

1.	Matching type questions: Column−IColumn−II(P) Number of points on the hyperbola xy=c2fromwhich(1)1two tangents drawn to the ellipse x2a2+y2b2=1(where b<a<c) are perpendicular to each other is(Q) The constant term of the quadratic expression(2)0∑nk=2(x−1k−1)(x−1k),asn→∞(R) f(x)=[tanx[cotx]],xϵ[π12,π2] (where[.]represents(3)3the greatest integer function) then the number of points,where f(x) is not continuous is(S) Equation of plane through (2,−1,0),(3,−4,5) and(4)4parallel to a line whose direction cosine proportional to 2,3,4is9x−2y−3z=5k then k is
Answer» Matching type questions: $\begin{matrix} C o l u m n - I & C o l u m n - I I (P) N u m b e r o f p o i n t s o n t h e h y p e r b o l a x y = c^{2} f r o m w h i c h & (1) 1 t w o t a n g e n t s d r a w n t o t h e e l l i p s e \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (w h e r e b < a < c) a r e p e r p e n d i c u l a r t o e a c h o t h e r i s (Q) T h e c o n s t a n t t e r m o f t h e q u a d r a t i c e x p r e s s i o n & (2) 0 \sum_{k = 2}^{n} (x - \frac{1}{k - 1}) (x - \frac{1}{k}), a s n \to \infty (R) f (x) = [t a n x [c o t x]], x ϵ [\frac{π}{12}, \frac{π}{2}] (w h e r e [.] r e p r e s e n t s & (3) 3 t h e g r e a t e s t i n t e g e r f u n c t i o n) t h e n t h e n u m b e r o f p o i n t s, w h e r e f (x) i s n o t c o n t i n u o u s i s (S) E q u a t i o n o f p l a n e t h r o u g h (2, - 1, 0), (3, - 4, 5) a n d & (4) 4 p a r a l l e l t o a l i n e w h o s e d i r e c t i o n c o s i n e p r o p o r t i o n a l t o 2, 3, 4 i s 9 x - 2 y - 3 z = 5 k t h e n k i s \end{matrix}$

Matching type questions: Column−IColumn−II(P) Number of points on the hyperbola xy=c2fromwhich(1)1two tangents drawn to the ellipse x2a2+y2b2=1(where b<a<c) are perpendicular to each other is(Q) The constant term of the quadratic expression(2)0∑nk=2(x−1k−1)(x−1k),asn→∞(R) f(x)=[tanx[cotx]],xϵ[π12,π2] (where[.]represents(3)3the greatest integer function) then the number of points,where f(x) is not continuous is(S) Equation of plane through (2,−1,0),(3,−4,5) and(4)4parallel to a line whose direction cosine proportional to 2,3,4is9x−2y−3z=5k then k is

Answer»

Matching type questions:

$\begin{matrix} C o l u m n - I & C o l u m n - I I (P) N u m b e r o f p o i n t s o n t h e h y p e r b o l a x y = c^{2} f r o m w h i c h & (1) 1 t w o t a n g e n t s d r a w n t o t h e e l l i p s e \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 (w h e r e b < a < c) a r e p e r p e n d i c u l a r t o e a c h o t h e r i s (Q) T h e c o n s t a n t t e r m o f t h e q u a d r a t i c e x p r e s s i o n & (2) 0 \sum_{k = 2}^{n} (x - \frac{1}{k - 1}) (x - \frac{1}{k}), a s n \to \infty (R) f (x) = [t a n x [c o t x]], x ϵ [\frac{π}{12}, \frac{π}{2}] (w h e r e [.] r e p r e s e n t s & (3) 3 t h e g r e a t e s t i n t e g e r f u n c t i o n) t h e n t h e n u m b e r o f p o i n t s, w h e r e f (x) i s n o t c o n t i n u o u s i s (S) E q u a t i o n o f p l a n e t h r o u g h (2, - 1, 0), (3, - 4, 5) a n d & (4) 4 p a r a l l e l t o a l i n e w h o s e d i r e c t i o n c o s i n e p r o p o r t i o n a l t o 2, 3, 4 i s 9 x - 2 y - 3 z = 5 k t h e n k i s \end{matrix}$

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