The form of the differential equation of...

The form of the differential equation of the central conics `a x^2+b y^2=1` is (a) `( b ) (c) x=y (d)(( e ) dy)/( f )(( g ) dx)( h ) (i) (j)` (k) (b) `( l ) (m) x+y (n)(( o ) dy)/( p )(( q ) dx)( r ) (s)=0( t )` (u) (c) `( d ) (e) x (f) (g)(( h ) (i) (j)(( k ) dy)/( l )(( m ) dx)( n ) (o) (p))^(( q )2( r ))( s )+x y (t)(( u ) (v) d^(( w )2( x ))( y ) y)/( z )(( a a ) d (bb) x^(( c c )2( d d ))( e e ))( f f ) (gg)=y (hh)(( i i ) dy)/( j j )(( k k ) dx)( l l ) (mm) (nn)` (oo) (d) None of these

`xy(d^2 y)/(dx^(2)) + x ((dy)/(dx))^(2) - y(dy)/(dx)=0`

`xy(d^(2)y)/(dx^(2)) - x((dy)/(dx))^(2) + y(dy)/(dx)=0`

`xy(d^(2)y)/(dx^2)-x((dy)/(dx))^(2) - y(dy)/(dx)=0`

None of these

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In Fig.93, if A O C is a straight line, then x= (a) ( b ) (c) (d) (e) 42^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 52^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 142^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 38^(( q )0( r ))( s ) (t) (u)

The measure of an angle which is its own complement is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 60^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 90^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

In Fig.97, If A B is parallel to CD, then the value of /_B P E is (a) ( b ) (c) (d) (e) 106^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 76^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 74^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 84^(( q )0( r ))( s ) (t) (u)

Two complementary angles are in the ratio 2: 3. The measure of the larger angle is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 54^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 66^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 48^(( q )0( r ))( s ) (t) (u)

Two supplementary angles are in the ratio 3: 2. The smaller angle measures (a) ( b ) (c) (d) (e) 108^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 81^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 72^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 68^(( q )0( r ))( s ) (t) (u)

The sum of an angle and half of its complementary angle is 75^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 40^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 50^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 80^(( q )0( r ))( s ) (t) (u)

An angle is thrice its supplement. The measure of the angle is (a) ( b ) (c) (d) (e) 120^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 105^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 135^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 150^(( q )0( r ))( s ) (t) (u)

If angles of a linear pair are equal, then the measure of each angle is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 45^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 90^(( q )0( r ))( s ) (t) (u)

The sum of an angle and one third of its supplementary angle is 90^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 135^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 120^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

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)

DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-1 : Concept Builder (Topicwise)

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