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3801.

The value of cos248°-sin212° is(a) 5+18 (b) 5-18 (c) 5+15 (d) 5+122

Answer» The value of cos248°-sin212° is



(a) 5+18 (b) 5-18 (c) 5+15 (d) 5+122
3802.

The class - mark of class interval 10-15 is _____________

Answer»

The class - mark of class interval 10-15 is _____________



3803.

Match the following algebraic equation with it's solution.

Answer»

Match the following algebraic equation with it's solution.

3804.

The following is the distribution of total household expenditure (in Rs.) of manual worker in a city: Expenditure (in Rs): 100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500 No. of manual workers: 25 40 33 28 30 22 16 8 Draw a histogram and a frequency polygon representing the above data.

Answer» The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:



























Expenditure

(in Rs):
100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500
No. of manual workers: 25 40 33 28 30 22 16 8



Draw a histogram and a frequency polygon representing the above data.
3805.

If the co-ordinates of two points A and B are (√7,0) and (−√7,0) respectively and P is any point on the conic, 9x2+16y2=144, then PA+PB is equal to :

Answer»

If the co-ordinates of two points A and B are (7,0) and (7,0) respectively and P is any point on the conic, 9x2+16y2=144, then PA+PB is equal to :

3806.

A hollow prism with a square base of side 16 cm contains water, which is 10 cm high. If a solid cube of side 8 cm is immersed in it, what will be the new height of water level in the prism?

Answer» A hollow prism with a square base of side 16 cm contains water, which is 10 cm high. If a solid cube of side 8 cm is immersed in it, what will be the new height of water level in the prism?
3807.

Write the following statements in 'if-then' form.(i) The opposite angles of a parallelogram are congruent.(ii) The diagonals of a rectangle are congruent.(iii) In an isosceles triangle, the segment joining the vertex and the mid point of the base is perpendicular to the base.

Answer» Write the following statements in 'if-then' form.

(i) The opposite angles of a parallelogram are congruent.

(ii) The diagonals of a rectangle are congruent.

(iii) In an isosceles triangle, the segment joining the vertex and the mid point of the base is perpendicular to the base.
3808.

In a factory, the production of tyres rose to 484000 from 400000 in 2 years. Find the rate of growth p.a.

Answer»

In a factory, the production of tyres rose to 484000 from 400000 in 2 years. Find the rate of growth p.a.


3809.

In the figure, ABCD and AEFD are two parallelograms. Prove that (i)PE=FQ(ii)ar(△APE):ar(△PFA)=ar(△QFD):ar(△PFD)(iii)ar(△PEA)=ar(△QFD).

Answer»

In the figure, ABCD and AEFD are two parallelograms. Prove that
(i)PE=FQ(ii)ar(APE):ar(PFA)=ar(QFD):ar(PFD)(iii)ar(PEA)=ar(QFD).

3810.

Find the zero of the polynomial 3x+2.

Answer»

Find the zero of the polynomial 3x+2.

3811.

Find the area of the given quadrilateral ABCD. Given that the length of BD, AE and BC are 28 cm, 12 cm, and 8 cm respectively.

Answer» Find the area of the given quadrilateral ABCD. Given that the length of BD, AE and BC are 28 cm, 12 cm, and 8 cm respectively.


3812.

If f(x)=3x3−5x2+7, then f(−2)+f(2) is:

Answer»

If f(x)=3x35x2+7, then f(2)+f(2) is:

3813.

A match box measures 4 cm×2.5 cm×1.5 cm.The volume of a packet containing 12 such boxes is:

Answer» A match box measures 4 cm×2.5 cm×1.5 cm.

The volume of a packet containing 12 such boxes is:
3814.

AB is the chord of the given circle. Name the regions in yellow and purple.

Answer»

AB is the chord of the given circle. Name the regions in yellow and purple.


3815.

Q.Find the series 12, 14, 18, 26, 38, 60, 74 (1) 26 (2) 74 (3) 18 (4) 60

Answer» Q.Find the series 12, 14, 18, 26, 38, 60, 74 (1) 26 (2) 74 (3) 18 (4) 60
3816.

Question 2 Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Given reason for you answer.

Answer» Question 2
Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Given reason for you answer.
3817.

when is the exam of NEET ? Please provide me with question papers of previous years .

Answer»

when is the exam of NEET ? Please provide me with question papers of previous years .

3818.

If ABCD is a cyclic quadrilateral with AB as the diameter of the circle and ∠ACD=50∘, then ∠BAD = ___.

Answer»

If ABCD is a cyclic quadrilateral with AB as the diameter of the circle and ACD=50, then BAD = ___.



3819.

If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.

Answer» If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
3820.

Write the remainder when the polynomial f(x) = x3 + x2 − 3x + 2 is divided by x + 1.

Answer» Write the remainder when the polynomial f(x) = x3 + x2 − 3x + 2 is divided by x + 1.
3821.

The sum of interior angles of a pair of parallel lines,formed by a line that intersects the parallel lines is

Answer»

The sum of interior angles of a pair of parallel lines,formed by a line that intersects the parallel lines is

3822.

The sides of a triangle are 39 cm, 25 cm and 56 cm. Find it's area.

Answer» The sides of a triangle are 39 cm, 25 cm and 56 cm. Find it's area.
3823.

Question 7In ΔABC and ΔDEF,∠B=∠E,∠F=∠C and AB = 3DE. Then the two triangles are(A) Congruent but not similar(B) Similar but not congruent(C) Neither congruent not similar(D) Congruent as well as similar

Answer» Question 7

In ΔABC and ΔDEF,B=E,F=C and AB = 3DE. Then the two triangles are



(A) Congruent but not similar

(B) Similar but not congruent

(C) Neither congruent not similar

(D) Congruent as well as similar
3824.

If x3−3x2+3xf−7=(x+1)(ax2+bx+c),htena+b+c=

Answer»

If x33x2+3xf7=(x+1)(ax2+bx+c),htena+b+c=


3825.

Which of the following statements is not true about the figure given below; DC is a line?

Answer»

Which of the following statements is not true about the figure given below; DC is a line?


3826.

Find the value of following polynomial where a = -2 and p(a) = a3 + a2 - 10.

Answer»

Find the value of following polynomial where a = -2 and p(a) = a3 + a2 - 10.



3827.

Factorise:x2 – 22x + 120

Answer» Factorise:

x2 – 22x + 120
3828.

Q.15 Ar1, 0) and B(0, 1) are two fixed points on the circle x2+y 1. Cisa variable point on this circle.AsCmoves, the locus of the orthocentre of the triangle ABC i (A) x2+y-2x -2y+1 0(C)x+y 4(B) x2 + y2-x-y=0(D) x2+ y2 + 2x-2y+1-0

Answer» Q.15 Ar1, 0) and B(0, 1) are two fixed points on the circle x2+y 1. Cisa variable point on this circle.AsCmoves, the locus of the orthocentre of the triangle ABC i (A) x2+y-2x -2y+1 0(C)x+y 4(B) x2 + y2-x-y=0(D) x2+ y2 + 2x-2y+1-0
3829.

A triangle ABC and a parallelogram ABDF lie on the same base AB and between the same parallels AB and DF. If the area of the triangle is 24 cm2, what will be the area of the parallelogram ?

Answer» A triangle ABC and a parallelogram ABDF lie on the same base AB and between the same parallels AB and DF. If the area of the triangle is 24 cm2, what will be the area of the parallelogram ?
3830.

x6−y6 is equal is

Answer» x6y6 is equal is
3831.

The complement of the simplified value of the k-map shown below is

Answer»

The complement of the simplified value of the k-map shown below is


3832.

Question 16Show that:(i) x + 3 is a factor of 69+11x–x2+x3.(ii) 2x – 3 is a factor of x+2x3–9x2+12.

Answer»

Question 16

Show that:

(i) x + 3 is a factor of 69+11xx2+x3.



(ii) 2x – 3 is a factor of x+2x39x2+12.



3833.

If A=[2294] and I=[1001], then 10A−1 is equal to:

Answer»

If A=[2294] and I=[1001], then 10A1 is equal to:


3834.

In the given figure, AOB is a diameter and DC is parallel to AB. If ∠ CAB = xo; find (in terms of x) the values of :(i) ∠ COB, (ii) DOC, (iii)∠ DAC,(iv) ∠ ADC.

Answer»

In the given figure, AOB is a diameter and DC is parallel to AB. If CAB = xo; find (in terms of x) the values of :(i) COB, (ii) DOC, (iii) DAC,(iv) ADC.

3835.

Find the measure of the angle subtended by ˆACB in the given figure:

Answer»

Find the measure of the angle subtended by ˆACB in the given figure:


3836.

Convert the following fraction into decimal form:44825000.1792

Answer» Convert the following fraction into decimal form:

4482500
  1. 0.1792
3837.

A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:

Answer» A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:
3838.

Two chords AB and AC of a circle subtends angles equal to 90∘ and 150∘ respectively at the centre. Find ∠BAC, if AB and AC lie on the opposite sides of the centre.

Answer»

Two chords AB and AC of a circle subtends angles equal to 90 and 150 respectively at the centre. Find BAC, if AB and AC lie on the opposite sides of the centre.


3839.

Which of the following expressions are polynomials? In case of a polynomial, write its degree. (i) x5−2x3+x+√3(ii) y3+√3y(iii) t2−25t+√5

Answer»

Which of the following expressions are polynomials? In case of a polynomial, write its degree.



(i) x52x3+x+3



(ii) y3+3y



(iii) t225t+5



3840.

The x and y intercepts of the line 2y = 3x

Answer»

The x and y intercepts of the line 2y = 3x


3841.

In a right angle triangle ΔABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of ΔABD and Δ BCD?

Answer»

In a right angle triangle ΔABC, a perpendicular BD is drawn on to the largest side from the opposite vertex. Which of the following does NOT give the ratios of the areas of ΔABD and Δ BCD?


3842.

12.If there are 15 points in a plane, no three of which are colinear except 6 then find how many lines and triangles can be formed by joining them

Answer» 12.If there are 15 points in a plane, no three of which are colinear except 6 then find how many lines and triangles can be formed by joining them
3843.

(x+1) is a factor of xn + 1 only if(i) n is an odd integer(ii) n is an even integer(iii) n is a negative integer(iv) n is a positive integer

Answer» (x+1) is a factor of xn + 1 only if



(i) n is an odd integer



(ii) n is an even integer



(iii) n is a negative integer



(iv) n is a positive integer
3844.

Express the following linear equations in general form and identify coefficients of x, y and constant term.(i) 3.¯¯¯7x−y−17=0 (ii) y = 5 (iii) x7=5 (iv) 2x + 3 = 0

Answer» Express the following linear equations in general form and identify coefficients of x, y and constant term.
(i) 3.¯¯¯7xy17=0 (ii) y = 5



(iii) x7=5 (iv) 2x + 3 = 0


3845.

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

Answer»

For a cube of side 'a' and a cuboid of length 'l', breadth 'b' and height 'h', match the following.

3846.

On dividing (5x4+7x3+2x2–3x+5) by (x+3), we get the quotient as

Answer»

On dividing (5x4+7x3+2x23x+5) by (x+3), we get the quotient as

3847.

The radius of a circle is 7 cm and it forms a sector by rotating through 60∘. Then, the radius gets doubled and further moves 30∘ to form another sector. What is the area of the total region covered by the radius? ( Take π= 227)

Answer»

The radius of a circle is 7 cm and it forms a sector by rotating through 60. Then, the radius gets doubled and further moves 30 to form another sector. What is the area of the total region covered by the radius? ( Take π= 227)


3848.

If 3+√52√5+3=a+b√5, then find the values of irrational numbers a and b.

Answer» If 3+525+3=a+b5, then find the values of irrational numbers a and b.
3849.

Question 179 ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus. [Hint Join BD. Then, ΔABD is equilateral]

Answer» Question 179
ABCD is a rhombus such that the perpendicular bisector of AB passes through D. Find the angles of the rhombus.
[Hint Join BD. Then, ΔABD is equilateral]
3850.

A plane passes through (3,-5,1) and is perpendicular to the line joining (-1,2,3) and (-3,-5,2). Find the equation of the plane and the angle it makes with the coordinate planes. Also find the intercepts it makes on the axis.

Answer» A plane passes through (3,-5,1) and is perpendicular to the line joining (-1,2,3) and (-3,-5,2). Find the equation of the plane and the angle it makes with the coordinate planes. Also find the intercepts it makes on the axis.