`S o l v e` `x^2+((a+b)/a+a/(a+b))x+1=0`

If a >0 and discriminant of a x^2+2b x+c is negative, then Delta = |(a,b,ax +b),(b,c,bx +c),(ax +b,bx +c,0)| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b],[b,c,bx+c],[ax+b,bx+c,0]| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b],[b,c,bx+c],[ax+b,bx+c,0]| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b],[b,c,bx+c],[ax+b,bx+c,0]| is a. +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0

The solution of the differential equation (x^2y^2-1)dy+2xy^3dx=0 is (a) ( b ) (c)1+( d ) x^(( e )2( f ))( g ) (h) y^(( i )2( j ))( k )=c x (l) (m) (b) ( n ) (o)1+( p ) x^(( q )2( r ))( s ) (t) y^(( u )2( v ))( w )=c y (x) (y) (c) ( d ) (e) y=0( f ) (g) (d) ( h ) (i) y=-( j )1/( k )(( l ) (m) x^(( n )2( o ))( p ))( q ) (r) (s) (t)

A curve y=f(x) passes through point P(1,1) . The normal to the curve at P is a (y-1)+(x-1)=0 . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point, then the equation of the curve is (a) ( b ) (c) y=( d ) e^(( e ) (f) K(( g ) (h) x-1( i ))( j ))( k ) (l) (m) (b) ( n ) (o) y=( p ) e^(( q ) (r) K e (s))( t ) (u) (v) (c) ( d ) (e) y=( f ) e^(( g ) (h) K(( i ) (j) x-2( k ))( l ))( m ) (n) (o) (d) None of these

In Fig.88 P R is a straight line and /_P Q S :/_S Q R=7: 5. The measure of /_S Q R is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) 62 (m) (n) (o)1/( p )2( q ) (r)^(( s )0( t ))( u ) (v) (w) (c) ( d ) (e) 67 (f) (g) (h)1/( i )2( j ) (k)^(( l )0( m ))( n ) (o) (p) (d) ( q ) (r) (s) (t) 75^(( u )0( v ))( w ) (x) (y)

In Fig.88 P R is a straight line and /_P Q S :/_S Q R=7: 5. The measure of /_S Q R is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) 62 (m) (n) (o)1/( p )2( q ) (r)^(( s )0( t ))( u ) (v) (w) (c) ( d ) (e) 67 (f) (g) (h)1/( i )2( j ) (k)^(( l )0( m ))( n ) (o) (p) (d) ( q ) (r) (s) (t) 75^(( u )0( v ))( w ) (x) (y)

Let L=("lim")_(xvec0)(a-sqrt(a^2-x^2)-(x^2)/4)/(x^4),a > 0. IfLi sfin i t e ,t h e n a=2 (b) a=1 L=1/(64) (d) L=1/(32)

If a >0 and discriminant of a x^2+2b x+c is negative, then =a b a x+bb c b x+c a x+bb x+c0 is +v e b. (a c-b)^2(a x^2+2b x+c) c. -v e d. 0