This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
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2. Find the mid-point of the line joining:(a) (0,0) and (8, â5) |
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Answer» Given:A(0,0) & B(8,-5) Mid point (x,y)=(x1+x2)/2 , (y1+y2)/2 =(0+8)/2 , (0+-5)/2 =(4, -5/2) 8y+5x=0 is a right answer |
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| 2. |
3) Find the slope of the tangent to thecurve, y x2 3x 2 at the pointwhose x co-ordinates is 3.Sol: |
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| 3. |
ample 8: In Fig. 6.38, the sides AB and AC ofAABC are produced to points E and D respectivelyIf bisectors BO and CO of Z CBE and Z BCDy respectively meet at point O, then prove thatZ BOC 90 BAC. |
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Answer» Part 1 Part 2 Part 3 Part 4 |
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| 4. |
nthe given figure, AOB is a straight line and the ray OC stands on it.IfLAOC = (2x-10° and LBOC = (3x + 20)", find the value of x. Alsofind /AOC and BOC.(3x +20)(2x-10) |
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| 5. |
If two normals to a parabola y 4ax intersect at right angles then the chord joining their feet passesthrough a fixed point whose co-ordinates are(A) (-2a, 0)(C) (2a, 0)(D) (0, 2a) |
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| 6. |
2l nthe given figure, AB and CD are two equal chordsAof a circle with centre O. OP and OQ areperpendicular on chords AB and CD, respectively. IfZPOQ-150°, find ZAPQIn an equilateral triangle prove that the centroid |
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| 7. |
Find the co-ordintes of a point A, where AB is the diameter of a circle whose centre is (2,-3)and B is (1, 4). |
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Answer» Let A(x,y)B(1,4)Centre=(2,-3) 2=x+1/2x+1=4x=3 -3=y+4/2-6=y+4y=-6-4=-10 A(3,-10) |
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| 8. |
nthe figure,BD = 10cm.Calculate LBAD and LBAC Calculate the sides of AADC. Find the area of LADC.at is the ratio of the sides of a triangle with angle measures 15°, 30°, 135°713510 |
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Answer» pg no. 1 pg no. 2 |
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| 9. |
I+87=:57 e ki S तलाक: |
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Answer» 4s² - 4s + 1 (2s)² - 2 ×2s × 1 + 1² (2s - 1)² = 0 So, s = 1/2 |
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| 10. |
0561230 |
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Answer» The correct answer is x=67° From exterior angle property , 123° = 56° + x => x = 123°-56° = 67° |
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| 11. |
students it hadexpĂŠlled.Rats were most common in the modern, newly built areas of Hanoid)h shind the Tonkin Free School. Towhatextent was ita |
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Answer» French maid modern colonies and houses according to their modern infrastructure and architecture in Vietnam they prepared a very well and occupied sewage system so that they are civil system is proper according to their modernity but on the opposite side of their for Friends Colony is there Hue Vietnam is poor people who are deciding the rest of the appropriate place in the sewage pipes so that the rats in the modern society were most common |
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| 12. |
Diameter of Earth is 12756000 m. A new planet is discovered whose diameter is 5/86 times diameSarth find diameter of the new planet in km. |
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Answer» The diameter of new planet is 74162.7907 m 74162.7907 m is the following question answer. new planet diameter is 74162.7907 is the correct answer of the following question |
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| 13. |
A school has 630 students. The ratio of thenumber of boys to the number of girls is 3:2. Thisratio changes to 7:5 after the admission of 90new students. Find the number of newly admittedboys. |
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Answer» initially total = 630boys:girls=3:2boys=378girls=252 now after admission of 90 total=630+90=720boys:girls=7:5so boys=420so girls=300so newly admitted boys=420-378=42 |
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| 14. |
sind mbio at line joining te 2) (6.5) which is dividedy le 5:30 2:0 |
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Answer» 5x-3y+2=0; we get (7,-2); 5(7)-3(-2)+2=0, 35+6+2=47(xx), 5x-3y+2=0; we get (6,3), 5(6)-3(3)+2=30-9+2=0; 32-9=24= ok |
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| 15. |
1. Find threevalue of a, for which point P 2 is the mid- point of the line segment joining the pointsQ-5, 4) and R(-1,0) |
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| 16. |
(a) 100S,S.C,8. ।-[5-2 + (-562)2}] बराबर है -(b)2 |
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Answer» the right answer is -4 |
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| 17. |
9. Find the value of a, for which pomt2is the midpoinis the mdpintof the line segment joining the points Q (-5, 4) and R (+1,0), |
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Answer» coordinate of mid point (x,y)x = (x1 +x2)/2y =(y1 +y2)/2A/qx =(-5 + (-1))/2 = -3⇒a/3 = -3⇒a =-9y = (4+0)/2 = 2coordinate of mid point = (-3,2)so,a= -9 please like the solution 👍 ✔️ |
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| 18. |
Find the value of a, for which point P (a/3, 2) isthe mid-point of the line segment joining thepoints Q (-5, 4) and R (-1, 0) |
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| 19. |
21. The number of boys in a school is 334 more than the number of girls. If the total strengh ofthe school is 572, find the number of girls in the school. |
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| 20. |
Find the value of a, for which point P (a/3, 2) is the mid-point of the line segment joining thepoints Q (-5, 4) and R (-1, 0).ue.6 |
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Answer» Given P is midpoint of QR so, P = ((-5-1)/2 , (4+0)/2) P = ( -3, 2) So, given P = (a/3 , 2) Comparing gives us a/3 = -3 a = -9 please explain briefly i couldnot understand it bhai ye kya likha h i could not read it |
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| 21. |
\left. \begin array l \text 1) 0.5 \text and 0.56 \\ \text 0. 562 \text and 0.57 \end array \right. |
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Answer» option 4) 0.56 and 0.57 |
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| 22. |
Use the symbols >, < or = correda 57 87106 1230 256 ( 562870780 |
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| 23. |
Question numbers 1 to 6 carry 1 mark each.1. Find three value of a, for which point P ,2 is the mid-point of the line segment joining the pointsQ(-5, 4) and R (-1,0). |
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| 24. |
13. Find the coordinates of the point Q on the xaxiswhich lies on the perpendicular bisector of theline segment joining the points A (-5, -2) andB (4,-2). Name the type of triangle formed by thepoints Q, A and B. |
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Answer» Let A be the point on the x-axis so, let A=(a,0) , B=(-5,-2) and C=(4,-2) Now, let D be the mid point of BC According to ur question A lies on the perpendicular bisector of the line joining B(-5,-2) and C(4,-2)That means, AD is perpendicular to BC and also bisects BC which means the triangle is isocelous Thus, use AB = AC=> (a + 5)^2+ 4 = (a - 4)^2+ 4 => (a + 5)^2- (a - 4)^2=0 => (a + 5 + a - 4)(a + 5 - a +4) = 0 => (2a + 1)(9) = 0 => a = -1/2 |
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| 25. |
01.The boys and girls in a school are in the ratio 9.5. If the total strength of school is 224, find thenumber of boys and girls in the school. |
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Answer» number of boys and girls are 9+5=14 14 is the best answer let the no. of boys=9xno. of girls=5xA.T.Q9x+5x=22414x=224x=224/14x=16no of boys=9*16=144no. of girls=5*16=80 number of boys and girls are 9+5=14 14 is the best answer letthe no. of boy and girl be xthen, 9x+5x=224. (given)14x=224x=224/14x=16 9x=9*16=114 boys5x=5*16=80 14x=2249x=224/14×9=1445x=5×16=80 |
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| 26. |
the number of boys in a school is 334 more than the number of girls. if the total strength of the school 562 find the number of girls in the school |
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| 27. |
The number of boys in a school is 334 more than the number of girls. If the total strength ofthe school is 572, find the number of girls in the school |
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Answer» sukriya |
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| 28. |
Q.66) In one school there are 30 % girls. If there are 900 students in this school.Then how many girls in this school ?1) 3702) 2403) 9504) 270 |
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Answer» Total number of students = 900 Number of girls = (30/100)*900= 30*9= 270 Therefore, Number of girls are 270 |
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| 29. |
The number of boys in a school is 334 more than the number of girls. If the total strength ofthe school is 572, find the number of girls in the school.21. |
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| 30. |
Prove that the bisectors of a pair of vertically opposite angles are in the samestraight line. Yagno-11heS naswo |
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| 31. |
If a circle passing through the point (-1, 0) touches y-axis at (0, 2), then the length of the chord of the circlealong the x-axis is |
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| 32. |
In the pair which number is to the right of the other on the number line. -11,10 |
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Answer» greater no. lie on the right of the smaller no. on number line-11<10so 10 lies right to -11 on number line |
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| 33. |
12. Prove that the bisectors of a pair of vertically opposite angles are in the samestraight line. |
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| 34. |
1 Explain the meaning and features of press release? Write the important step ip writing pressrelease. |
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Answer» A press releaseis a written communication that reports specific but brief information about an event, circumstance, or other happening. It's typically tied to a business or organization and provided tomediathrough a variety of means. |
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| 35. |
A circle passes through the point 3,and touches the line pair x-y'-2x +1 0. Thecoordinates of the centre of the circle are(0, 5 |
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Answer» 1st |
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| 36. |
Find the values of: 3.1428 and 0.31428 correct to three decimal places. |
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Answer» √3.1428=1.772√0.31428=0.560 |
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| 37. |
If the line 2x -y +1 0 touches the circle at the point (2,5) and the centre of the circlelies on the line x +y-9 0. Find the equation of the circle. |
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| 38. |
ly,if the points (1, 1, p) and (-3, 0, 1) be equidistant from the planeㄕ-3 i + 4 j-12 k) + I 3-0, then find the value of p. |
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| 39. |
4. Find the square root of the following (correct to three decimal places).17(ii) 2.5(ii) 2(iv)367? |
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Answer» We can find the square root up to three decimal places by using long division until we get four decimal places and then rounding it to three decimal places. I want method for this sums |
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| 40. |
13Expressas a decimal, correct to four decimal places.13Expressas a decimal, correct to three decimal place5, |
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Answer» 15/56=0.2678 13/34=0.3823 |
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| 41. |
12.Find the values of y for which the distance between the points P(2,-3) and Q(10,y) is 10units |
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| 42. |
betweena and12. Find the value of k for which the points A (7, -2), B(5, 1) and C(3, k) are collinear. [2)hat ratio is the line segment joining the points P (-2 ¡3) and |
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Answer» For collinear points, area of triangle=0(1/2)[7(1-k)+5(k+2)+3(-2-1)]=0(1/2)[7-7k+5k+10-9]=0(1/2)[8-2k]=02k=8k=4 |
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(А), 3:42. Show that the point P (-4, 2) lies on the line segment joining the points A (-4, 6) andE12 |
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| 44. |
11. If the distance between wU DOTI(10,y) is 10Find the values ofy for which the distance between the points P(2,-3) andunits.12. |
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| 45. |
Find the area of the shaded region in Fig. 3, where arcsand D intersect in pairs at mid-points P, Q, R and S orespectively of a square ABCD of side 12 cm. [Use T 3.14)drawn with centres A,B,C2imFig. 3 |
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| 46. |
/(गण्णों गाब्गa8 Il |
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| 47. |
के )2+ 5) — (x + U)o+ a8 |
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| 48. |
4. Given 15 cot A8, find sin A and sec A |
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| 49. |
mple 4. In a town of 10,000 families it was found that 40% families buy news paper A, 20%Exafamilies buy news 10% famil es buy new paper C, 5% families buy A and B y buy Bnd C, and 4% buy A and C. If 2% families buy all the three news paper, then (i) find the number (families which buy A only (i) the number of families which buy none off A, B and C newspaperpaper B and |
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Answer» Total Number of Families (N) = 10,000a) Number of families which buy Newspaper A = 40%*N +5%N + 4%N +2%N = 40/100*10000 + 5/100*10000 + 4*100*10000 + 2/100*10000 = 10000/100(40+5+4+2) = 100(51) = 5100 b) Number of Families which doesn't buy Any NewsPaper = (100 - (40+20+10+5+3+4+2))%N = (100 - 84)%N = 16%N = 16/100*10000 = 16*100= 1600 |
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| 50. |
PormorehWanttavisltwww.edugain.comAnswer the questions(1) When a number is divided by 8, it gives a remainder of 3. What wil be the remainder if the squareof that number is divided by 8? |
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Answer» thanks but much difficulty to understand what you have written like it if this helps thanks very much 64q2+48q+9 kyu aaya hai please bata dijiye |
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